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Finding the Fourth Proportional to 2,279.80, 3,420.06 and 819.31

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Solution

The fourth proportional to 2,279.80, 3,420.06 and 819.31 is: 1,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.80 : 3,420.06 = 819.31 : x
  2. Step 2: Convert to fraction form
    2,279.80/3,420.06 = 819.31/x
  3. Step 3: Cross multiply
    2,279.80x = 3,420.06 × 819.31
  4. Step 4: Simplify right side
    2,279.80x = 2,802,089.36
  5. Step 5: Solve for x
    x = 2,802,089.36/2,279.80
  6. Step 6: Final answer
    x = 1,229.09

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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.