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Finding the Fourth Proportional to 2,280.55, 3,418.80 and 819.31

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Solution

The fourth proportional to 2,280.55, 3,418.80 and 819.31 is: 1,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.55 : 3,418.80 = 819.31 : x
  2. Step 2: Convert to fraction form
    2,280.55/3,418.80 = 819.31/x
  3. Step 3: Cross multiply
    2,280.55x = 3,418.80 × 819.31
  4. Step 4: Simplify right side
    2,280.55x = 2,801,057.03
  5. Step 5: Solve for x
    x = 2,801,057.03/2,280.55
  6. Step 6: Final answer
    x = 1,228.24

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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.