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Finding the Fourth Proportional to 3,128.40, 4,692.36 and 819.84

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Solution

The fourth proportional to 3,128.40, 4,692.36 and 819.84 is: 1,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.40 : 4,692.36 = 819.84 : x
  2. Step 2: Convert to fraction form
    3,128.40/4,692.36 = 819.84/x
  3. Step 3: Cross multiply
    3,128.40x = 4,692.36 × 819.84
  4. Step 4: Simplify right side
    3,128.40x = 3,846,984.42
  5. Step 5: Solve for x
    x = 3,846,984.42/3,128.40
  6. Step 6: Final answer
    x = 1,229.70

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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.