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Finding the Fourth Proportional to 2,462.67, 3,692.79 and 819.18

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Solution

The fourth proportional to 2,462.67, 3,692.79 and 819.18 is: 1,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.67 : 3,692.79 = 819.18 : x
  2. Step 2: Convert to fraction form
    2,462.67/3,692.79 = 819.18/x
  3. Step 3: Cross multiply
    2,462.67x = 3,692.79 × 819.18
  4. Step 4: Simplify right side
    2,462.67x = 3,025,059.71
  5. Step 5: Solve for x
    x = 3,025,059.71/2,462.67
  6. Step 6: Final answer
    x = 1,228.37

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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.