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Finding the Fourth Proportional to 3,227.70, 4,454.01 and 1,902.18

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Solution

The fourth proportional to 3,227.70, 4,454.01 and 1,902.18 is: 2,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.70 : 4,454.01 = 1,902.18 : x
  2. Step 2: Convert to fraction form
    3,227.70/4,454.01 = 1,902.18/x
  3. Step 3: Cross multiply
    3,227.70x = 4,454.01 × 1,902.18
  4. Step 4: Simplify right side
    3,227.70x = 8,472,328.74
  5. Step 5: Solve for x
    x = 8,472,328.74/3,227.70
  6. Step 6: Final answer
    x = 2,624.88

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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.