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Finding the Fourth Proportional to 2,720.98, 3,755.62 and 1,542.74

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Solution

The fourth proportional to 2,720.98, 3,755.62 and 1,542.74 is: 2,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.98 : 3,755.62 = 1,542.74 : x
  2. Step 2: Convert to fraction form
    2,720.98/3,755.62 = 1,542.74/x
  3. Step 3: Cross multiply
    2,720.98x = 3,755.62 × 1,542.74
  4. Step 4: Simplify right side
    2,720.98x = 5,793,945.20
  5. Step 5: Solve for x
    x = 5,793,945.20/2,720.98
  6. Step 6: Final answer
    x = 2,129.36

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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.