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Finding the Fourth Proportional to 2,531.78, 3,493.57 and 1,469.22

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Solution

The fourth proportional to 2,531.78, 3,493.57 and 1,469.22 is: 2,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.78 : 3,493.57 = 1,469.22 : x
  2. Step 2: Convert to fraction form
    2,531.78/3,493.57 = 1,469.22/x
  3. Step 3: Cross multiply
    2,531.78x = 3,493.57 × 1,469.22
  4. Step 4: Simplify right side
    2,531.78x = 5,132,822.92
  5. Step 5: Solve for x
    x = 5,132,822.92/2,531.78
  6. Step 6: Final answer
    x = 2,027.36

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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.