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Finding the Fourth Proportional to 3,432.70, 5,148.94 and 1,351.20

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Solution

The fourth proportional to 3,432.70, 5,148.94 and 1,351.20 is: 2,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.70 : 5,148.94 = 1,351.20 : x
  2. Step 2: Convert to fraction form
    3,432.70/5,148.94 = 1,351.20/x
  3. Step 3: Cross multiply
    3,432.70x = 5,148.94 × 1,351.20
  4. Step 4: Simplify right side
    3,432.70x = 6,957,247.73
  5. Step 5: Solve for x
    x = 6,957,247.73/3,432.70
  6. Step 6: Final answer
    x = 2,026.76

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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.