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Finding the Fourth Proportional to 1,781.31, 2,671.28 and 741.80

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Solution

The fourth proportional to 1,781.31, 2,671.28 and 741.80 is: 1,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.31 : 2,671.28 = 741.80 : x
  2. Step 2: Convert to fraction form
    1,781.31/2,671.28 = 741.80/x
  3. Step 3: Cross multiply
    1,781.31x = 2,671.28 × 741.80
  4. Step 4: Simplify right side
    1,781.31x = 1,981,567.38
  5. Step 5: Solve for x
    x = 1,981,567.38/1,781.31
  6. Step 6: Final answer
    x = 1,112.42

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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.