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Finding the Fourth Proportional to 2,218.28, 3,327.24 and 574.88

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Solution

The fourth proportional to 2,218.28, 3,327.24 and 574.88 is: 862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.28 : 3,327.24 = 574.88 : x
  2. Step 2: Convert to fraction form
    2,218.28/3,327.24 = 574.88/x
  3. Step 3: Cross multiply
    2,218.28x = 3,327.24 × 574.88
  4. Step 4: Simplify right side
    2,218.28x = 1,912,763.73
  5. Step 5: Solve for x
    x = 1,912,763.73/2,218.28
  6. Step 6: Final answer
    x = 862.27

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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.