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Finding the Fourth Proportional to 2,280.67, 3,422.37 and 819.93

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Solution

The fourth proportional to 2,280.67, 3,422.37 and 819.93 is: 1,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.67 : 3,422.37 = 819.93 : x
  2. Step 2: Convert to fraction form
    2,280.67/3,422.37 = 819.93/x
  3. Step 3: Cross multiply
    2,280.67x = 3,422.37 × 819.93
  4. Step 4: Simplify right side
    2,280.67x = 2,806,115.13
  5. Step 5: Solve for x
    x = 2,806,115.13/2,280.67
  6. Step 6: Final answer
    x = 1,230.39

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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.