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Finding the Fourth Proportional to 1,472.52, 2,032.17 and 883.02

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Solution

The fourth proportional to 1,472.52, 2,032.17 and 883.02 is: 1,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.52 : 2,032.17 = 883.02 : x
  2. Step 2: Convert to fraction form
    1,472.52/2,032.17 = 883.02/x
  3. Step 3: Cross multiply
    1,472.52x = 2,032.17 × 883.02
  4. Step 4: Simplify right side
    1,472.52x = 1,794,446.75
  5. Step 5: Solve for x
    x = 1,794,446.75/1,472.52
  6. Step 6: Final answer
    x = 1,218.62

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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.