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Finding the Fourth Proportional to 1,371.27, 1,892.35 and 781.82

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Solution

The fourth proportional to 1,371.27, 1,892.35 and 781.82 is: 1,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.27 : 1,892.35 = 781.82 : x
  2. Step 2: Convert to fraction form
    1,371.27/1,892.35 = 781.82/x
  3. Step 3: Cross multiply
    1,371.27x = 1,892.35 × 781.82
  4. Step 4: Simplify right side
    1,371.27x = 1,479,475.69
  5. Step 5: Solve for x
    x = 1,479,475.69/1,371.27
  6. Step 6: Final answer
    x = 1,078.91

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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.