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Finding the Fourth Proportional to 3,128.40, 4,692.76 and 819.92

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Solution

The fourth proportional to 3,128.40, 4,692.76 and 819.92 is: 1,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.40 : 4,692.76 = 819.92 : x
  2. Step 2: Convert to fraction form
    3,128.40/4,692.76 = 819.92/x
  3. Step 3: Cross multiply
    3,128.40x = 4,692.76 × 819.92
  4. Step 4: Simplify right side
    3,128.40x = 3,847,687.78
  5. Step 5: Solve for x
    x = 3,847,687.78/3,128.40
  6. Step 6: Final answer
    x = 1,229.92

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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.