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Finding the Fourth Proportional to 1,520.92, 2,285.03 and 974.17

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Solution

The fourth proportional to 1,520.92, 2,285.03 and 974.17 is: 1,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.92 : 2,285.03 = 974.17 : x
  2. Step 2: Convert to fraction form
    1,520.92/2,285.03 = 974.17/x
  3. Step 3: Cross multiply
    1,520.92x = 2,285.03 × 974.17
  4. Step 4: Simplify right side
    1,520.92x = 2,226,002.80
  5. Step 5: Solve for x
    x = 2,226,002.80/1,520.92
  6. Step 6: Final answer
    x = 1,463.59

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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.