1. **State the problem:** We need to find the ratio of gold to silver to bronze medals won by Sweden in the 1988 Winter Olympic Games and simplify it. 2. **Identify the values:** From the table, Sweden won 4 gold, 0 silver, and 2 bronze medals. 3. **Write the ratio:** The ratio is $4 : 0 : 2$. 4. **Simplify the ratio:** To simplify, find the greatest common divisor (GCD) of the numbers 4, 0, and 2. - The GCD of 4 and 2 is 2. - Since silver is 0, it remains 0 in the ratio. 5. **Divide each term by the GCD 2:** $$\frac{4}{\cancel{2}} : \frac{0}{\cancel{2}} : \frac{2}{\cancel{2}} = 2 : 0 : 1$$ 6. **Final answer:** The simplified ratio of gold to silver to bronze medals for Sweden is **2 : 0 : 1**. This means for every 2 gold medals, Sweden won 0 silver and 1 bronze medal.