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Finding the Fourth Proportional to 3,101.76, 4,654.24 and 1,371.60

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Solution

The fourth proportional to 3,101.76, 4,654.24 and 1,371.60 is: 2,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.76 : 4,654.24 = 1,371.60 : x
  2. Step 2: Convert to fraction form
    3,101.76/4,654.24 = 1,371.60/x
  3. Step 3: Cross multiply
    3,101.76x = 4,654.24 × 1,371.60
  4. Step 4: Simplify right side
    3,101.76x = 6,383,755.58
  5. Step 5: Solve for x
    x = 6,383,755.58/3,101.76
  6. Step 6: Final answer
    x = 2,058.11

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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.