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Finding the Fourth Proportional to 2,206.31, 3,310.04 and 819.69

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Solution

The fourth proportional to 2,206.31, 3,310.04 and 819.69 is: 1,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.31 : 3,310.04 = 819.69 : x
  2. Step 2: Convert to fraction form
    2,206.31/3,310.04 = 819.69/x
  3. Step 3: Cross multiply
    2,206.31x = 3,310.04 × 819.69
  4. Step 4: Simplify right side
    2,206.31x = 2,713,221.95
  5. Step 5: Solve for x
    x = 2,713,221.95/2,206.31
  6. Step 6: Final answer
    x = 1,229.75

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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.