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Finding the Fourth Proportional to 2,542.52, 3,812.74 and 1,721.02

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Solution

The fourth proportional to 2,542.52, 3,812.74 and 1,721.02 is: 2,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.52 : 3,812.74 = 1,721.02 : x
  2. Step 2: Convert to fraction form
    2,542.52/3,812.74 = 1,721.02/x
  3. Step 3: Cross multiply
    2,542.52x = 3,812.74 × 1,721.02
  4. Step 4: Simplify right side
    2,542.52x = 6,561,801.79
  5. Step 5: Solve for x
    x = 6,561,801.79/2,542.52
  6. Step 6: Final answer
    x = 2,580.83

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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.