1. Problem 1: Given $x = 70$. 1. Reasoning: The value of $x$ is given directly, so no computation is necessary. 1. Final answer: $x = 70$. 2. Problem 2: Compute $40\%$ of $100$ of $\frac{3}{4}$ of $2400$. 2. Step A: Compute $\frac{3}{4}$ of $2400$. 2. A calculation: $$\frac{3}{4}\times 2400 = 1800$$ 2. Step B: Interpret 100 of as 100% which equals $1$. 2. Step C: Convert $40\%$ to a fraction: $40\% = \frac{40}{100} = \frac{2}{5}$. 2. Step D: Multiply the factors: $$\frac{2}{5}\times 1\times 1800 = \frac{2}{5}\times 1800 = 720$$ 2. Final answer: $720$. 3. Problem 3: Compute $40\%$ of $50\%$ of $\frac{3}{4}$ of $2400$. 3. Step A: We already computed $\frac{3}{4}\times 2400 = 1800$. 3. Step B: Convert percentages: $40\% = \frac{2}{5}$ and $50\% = \frac{1}{2}$. 3. Step C: Multiply percentages: $$\frac{2}{5}\times \frac{1}{2} = \frac{2}{10} = \frac{1}{5}$$ 3. Step D: Multiply by $1800$: $$\frac{1}{5}\times 1800 = 360$$ 3. Final answer: $360$.