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Finding the Fourth Proportional to 2,280.42, 3,419.82 and 819.18

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Solution

The fourth proportional to 2,280.42, 3,419.82 and 819.18 is: 1,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.42 : 3,419.82 = 819.18 : x
  2. Step 2: Convert to fraction form
    2,280.42/3,419.82 = 819.18/x
  3. Step 3: Cross multiply
    2,280.42x = 3,419.82 × 819.18
  4. Step 4: Simplify right side
    2,280.42x = 2,801,448.15
  5. Step 5: Solve for x
    x = 2,801,448.15/2,280.42
  6. Step 6: Final answer
    x = 1,228.48

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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.