1. **State the problem:** Priya and Khan share ping pong balls in the ratio 3 : 5. Khan has 45 ping pong balls. We need to find the values corresponding to the numbers 1, 2, 3, and 4 in the diagram. 2. **Understand the ratio:** The ratio 3 : 5 means for every 3 ping pong balls Priya has, Khan has 5. 3. **Define the unit:** Let the common unit be $x$. Then Priya has $3x$ balls and Khan has $5x$ balls. 4. **Use the given information:** Khan has 45 balls, so: $$5x = 45$$ 5. **Solve for $x$:** $$x = \frac{45}{5} = 9$$ 6. **Find Priya's balls:** $$3x = 3 \times 9 = 27$$ 7. **Find total balls:** Total balls = Priya's + Khan's = $27 + 45 = 72$ 8. **Match numbers to values:** - Number 1: The bracket encompassing both rows represents 1 unit of the whole, so it corresponds to the total number of balls, which is $72$. - Number 2: The bracket covering Priya's 3 rectangles corresponds to Priya's balls, which is $27$. - Number 3: The bracket covering all 8 rectangles corresponds to the total balls, which is $72$. - Number 4: The bracket covering Khan's 5 rectangles corresponds to Khan's balls, which is $45$. **Final answers:** 1 → 72 2 → 27 3 → 72 4 → 45