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Finding the Fourth Proportional to 1,469.92, 2,200.20 and 922.72

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Solution

The fourth proportional to 1,469.92, 2,200.20 and 922.72 is: 1,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.92 : 2,200.20 = 922.72 : x
  2. Step 2: Convert to fraction form
    1,469.92/2,200.20 = 922.72/x
  3. Step 3: Cross multiply
    1,469.92x = 2,200.20 × 922.72
  4. Step 4: Simplify right side
    1,469.92x = 2,030,168.54
  5. Step 5: Solve for x
    x = 2,030,168.54/1,469.92
  6. Step 6: Final answer
    x = 1,381.14

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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.