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Finding the Fourth Proportional to 3,442.60, 5,160.16 and 1,250.72

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Solution

The fourth proportional to 3,442.60, 5,160.16 and 1,250.72 is: 1,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.60 : 5,160.16 = 1,250.72 : x
  2. Step 2: Convert to fraction form
    3,442.60/5,160.16 = 1,250.72/x
  3. Step 3: Cross multiply
    3,442.60x = 5,160.16 × 1,250.72
  4. Step 4: Simplify right side
    3,442.60x = 6,453,915.32
  5. Step 5: Solve for x
    x = 6,453,915.32/3,442.60
  6. Step 6: Final answer
    x = 1,874.72

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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.