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Finding the Fourth Proportional to 1,446.24, 2,169.58 and 715.86

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Solution

The fourth proportional to 1,446.24, 2,169.58 and 715.86 is: 1,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.24 : 2,169.58 = 715.86 : x
  2. Step 2: Convert to fraction form
    1,446.24/2,169.58 = 715.86/x
  3. Step 3: Cross multiply
    1,446.24x = 2,169.58 × 715.86
  4. Step 4: Simplify right side
    1,446.24x = 1,553,115.54
  5. Step 5: Solve for x
    x = 1,553,115.54/1,446.24
  6. Step 6: Final answer
    x = 1,073.90

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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.