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Finding the Fourth Proportional to 2,280.83, 3,420.63 and 819.99

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Solution

The fourth proportional to 2,280.83, 3,420.63 and 819.99 is: 1,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.83 : 3,420.63 = 819.99 : x
  2. Step 2: Convert to fraction form
    2,280.83/3,420.63 = 819.99/x
  3. Step 3: Cross multiply
    2,280.83x = 3,420.63 × 819.99
  4. Step 4: Simplify right side
    2,280.83x = 2,804,882.39
  5. Step 5: Solve for x
    x = 2,804,882.39/2,280.83
  6. Step 6: Final answer
    x = 1,229.77

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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.