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Finding the Fourth Proportional to 3,442.92, 5,162.78 and 1,102.46

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Solution

The fourth proportional to 3,442.92, 5,162.78 and 1,102.46 is: 1,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.92 : 5,162.78 = 1,102.46 : x
  2. Step 2: Convert to fraction form
    3,442.92/5,162.78 = 1,102.46/x
  3. Step 3: Cross multiply
    3,442.92x = 5,162.78 × 1,102.46
  4. Step 4: Simplify right side
    3,442.92x = 5,691,758.44
  5. Step 5: Solve for x
    x = 5,691,758.44/3,442.92
  6. Step 6: Final answer
    x = 1,653.18

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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.