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Finding the Fourth Proportional to 2,218.24, 3,327.36 and 902.13

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Solution

The fourth proportional to 2,218.24, 3,327.36 and 902.13 is: 1,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.24 : 3,327.36 = 902.13 : x
  2. Step 2: Convert to fraction form
    2,218.24/3,327.36 = 902.13/x
  3. Step 3: Cross multiply
    2,218.24x = 3,327.36 × 902.13
  4. Step 4: Simplify right side
    2,218.24x = 3,001,711.28
  5. Step 5: Solve for x
    x = 3,001,711.28/2,218.24
  6. Step 6: Final answer
    x = 1,353.20

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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.