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Finding the Fourth Proportional to 3,207.70, 4,811.67 and 1,016.42

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Solution

The fourth proportional to 3,207.70, 4,811.67 and 1,016.42 is: 1,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.70 : 4,811.67 = 1,016.42 : x
  2. Step 2: Convert to fraction form
    3,207.70/4,811.67 = 1,016.42/x
  3. Step 3: Cross multiply
    3,207.70x = 4,811.67 × 1,016.42
  4. Step 4: Simplify right side
    3,207.70x = 4,890,689.65
  5. Step 5: Solve for x
    x = 4,890,689.65/3,207.70
  6. Step 6: Final answer
    x = 1,524.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.