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Finding the Fourth Proportional to 2,721.53, 3,755.33 and 1,542.38

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Solution

The fourth proportional to 2,721.53, 3,755.33 and 1,542.38 is: 2,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.53 : 3,755.33 = 1,542.38 : x
  2. Step 2: Convert to fraction form
    2,721.53/3,755.33 = 1,542.38/x
  3. Step 3: Cross multiply
    2,721.53x = 3,755.33 × 1,542.38
  4. Step 4: Simplify right side
    2,721.53x = 5,792,125.18
  5. Step 5: Solve for x
    x = 5,792,125.18/2,721.53
  6. Step 6: Final answer
    x = 2,128.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.