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Finding the Fourth Proportional to 1,517.29, 2,275.17 and 592.14

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Solution

The fourth proportional to 1,517.29, 2,275.17 and 592.14 is: 887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.29 : 2,275.17 = 592.14 : x
  2. Step 2: Convert to fraction form
    1,517.29/2,275.17 = 592.14/x
  3. Step 3: Cross multiply
    1,517.29x = 2,275.17 × 592.14
  4. Step 4: Simplify right side
    1,517.29x = 1,347,207.79
  5. Step 5: Solve for x
    x = 1,347,207.79/1,517.29
  6. Step 6: Final answer
    x = 887.90

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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.