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Finding the Fourth Proportional to 2,425.88, 3,349.14 and 1,542.44

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Solution

The fourth proportional to 2,425.88, 3,349.14 and 1,542.44 is: 2,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.88 : 3,349.14 = 1,542.44 : x
  2. Step 2: Convert to fraction form
    2,425.88/3,349.14 = 1,542.44/x
  3. Step 3: Cross multiply
    2,425.88x = 3,349.14 × 1,542.44
  4. Step 4: Simplify right side
    2,425.88x = 5,165,847.50
  5. Step 5: Solve for x
    x = 5,165,847.50/2,425.88
  6. Step 6: Final answer
    x = 2,129.47

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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.