1. **State the problem:** Solve the equation $$\frac{N_p}{1200} = \frac{1600}{1000}$$ for $N_p$. 2. **Formula and rules:** To solve for $N_p$, multiply both sides of the equation by 1200 to isolate $N_p$. 3. **Intermediate work:** $$N_p = 1200 \times \frac{1600}{1000}$$ 4. **Simplify the fraction:** $$\frac{1600}{1000} = \frac{\cancel{1600}}{\cancel{1000}} = \frac{16}{10}$$ 5. **Calculate $N_p$:** $$N_p = 1200 \times \frac{16}{10}$$ 6. **Simplify multiplication:** $$N_p = \cancel{1200} \times \frac{16}{\cancel{10}} = 120 \times 16 = 1920$$ 7. **Final answer:** $$\boxed{N_p = 1920}$$