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Finding the Fourth Proportional to 3,128.24, 4,692.04 and 819.74

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Solution

The fourth proportional to 3,128.24, 4,692.04 and 819.74 is: 1,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.24 : 4,692.04 = 819.74 : x
  2. Step 2: Convert to fraction form
    3,128.24/4,692.04 = 819.74/x
  3. Step 3: Cross multiply
    3,128.24x = 4,692.04 × 819.74
  4. Step 4: Simplify right side
    3,128.24x = 3,846,252.87
  5. Step 5: Solve for x
    x = 3,846,252.87/3,128.24
  6. Step 6: Final answer
    x = 1,229.53

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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.