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Finding the Fourth Proportional to 2,227.20, 3,337.20 and 1,917.60

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Solution

The fourth proportional to 2,227.20, 3,337.20 and 1,917.60 is: 2,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.20 : 3,337.20 = 1,917.60 : x
  2. Step 2: Convert to fraction form
    2,227.20/3,337.20 = 1,917.60/x
  3. Step 3: Cross multiply
    2,227.20x = 3,337.20 × 1,917.60
  4. Step 4: Simplify right side
    2,227.20x = 6,399,414.72
  5. Step 5: Solve for x
    x = 6,399,414.72/2,227.20
  6. Step 6: Final answer
    x = 2,873.30

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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.