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Finding the Fourth Proportional to 2,721.67, 3,755.77 and 1,542.71

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Solution

The fourth proportional to 2,721.67, 3,755.77 and 1,542.71 is: 2,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.67 : 3,755.77 = 1,542.71 : x
  2. Step 2: Convert to fraction form
    2,721.67/3,755.77 = 1,542.71/x
  3. Step 3: Cross multiply
    2,721.67x = 3,755.77 × 1,542.71
  4. Step 4: Simplify right side
    2,721.67x = 5,794,069.47
  5. Step 5: Solve for x
    x = 5,794,069.47/2,721.67
  6. Step 6: Final answer
    x = 2,128.87

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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.