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Finding the Fourth Proportional to 2,280.97, 3,421.46 and 819.07

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Solution

The fourth proportional to 2,280.97, 3,421.46 and 819.07 is: 1,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.97 : 3,421.46 = 819.07 : x
  2. Step 2: Convert to fraction form
    2,280.97/3,421.46 = 819.07/x
  3. Step 3: Cross multiply
    2,280.97x = 3,421.46 × 819.07
  4. Step 4: Simplify right side
    2,280.97x = 2,802,402.59
  5. Step 5: Solve for x
    x = 2,802,402.59/2,280.97
  6. Step 6: Final answer
    x = 1,228.60

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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.