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Finding the Fourth Proportional to 1,472.49, 2,032.71 and 913.73

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Solution

The fourth proportional to 1,472.49, 2,032.71 and 913.73 is: 1,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.49 : 2,032.71 = 913.73 : x
  2. Step 2: Convert to fraction form
    1,472.49/2,032.71 = 913.73/x
  3. Step 3: Cross multiply
    1,472.49x = 2,032.71 × 913.73
  4. Step 4: Simplify right side
    1,472.49x = 1,857,337.94
  5. Step 5: Solve for x
    x = 1,857,337.94/1,472.49
  6. Step 6: Final answer
    x = 1,261.36

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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.