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Finding the Fourth Proportional to 1,687.50, 2,329.11 and 1,066.86

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Solution

The fourth proportional to 1,687.50, 2,329.11 and 1,066.86 is: 1,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.50 : 2,329.11 = 1,066.86 : x
  2. Step 2: Convert to fraction form
    1,687.50/2,329.11 = 1,066.86/x
  3. Step 3: Cross multiply
    1,687.50x = 2,329.11 × 1,066.86
  4. Step 4: Simplify right side
    1,687.50x = 2,484,834.29
  5. Step 5: Solve for x
    x = 2,484,834.29/1,687.50
  6. Step 6: Final answer
    x = 1,472.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.