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Finding the Fourth Proportional to 1,761.49, 2,641.47 and 939.58

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Solution

The fourth proportional to 1,761.49, 2,641.47 and 939.58 is: 1,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.49 : 2,641.47 = 939.58 : x
  2. Step 2: Convert to fraction form
    1,761.49/2,641.47 = 939.58/x
  3. Step 3: Cross multiply
    1,761.49x = 2,641.47 × 939.58
  4. Step 4: Simplify right side
    1,761.49x = 2,481,872.38
  5. Step 5: Solve for x
    x = 2,481,872.38/1,761.49
  6. Step 6: Final answer
    x = 1,408.96

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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.