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Finding the Fourth Proportional to 2,725.97, 3,761.89 and 1,546.91

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Solution

The fourth proportional to 2,725.97, 3,761.89 and 1,546.91 is: 2,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.97 : 3,761.89 = 1,546.91 : x
  2. Step 2: Convert to fraction form
    2,725.97/3,761.89 = 1,546.91/x
  3. Step 3: Cross multiply
    2,725.97x = 3,761.89 × 1,546.91
  4. Step 4: Simplify right side
    2,725.97x = 5,819,306.93
  5. Step 5: Solve for x
    x = 5,819,306.93/2,725.97
  6. Step 6: Final answer
    x = 2,134.77

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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.