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Finding the Fourth Proportional to 1,469.32, 2,204.05 and 819.56

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Solution

The fourth proportional to 1,469.32, 2,204.05 and 819.56 is: 1,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.32 : 2,204.05 = 819.56 : x
  2. Step 2: Convert to fraction form
    1,469.32/2,204.05 = 819.56/x
  3. Step 3: Cross multiply
    1,469.32x = 2,204.05 × 819.56
  4. Step 4: Simplify right side
    1,469.32x = 1,806,351.22
  5. Step 5: Solve for x
    x = 1,806,351.22/1,469.32
  6. Step 6: Final answer
    x = 1,229.38

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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.