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Finding the Fourth Proportional to 2,280.68, 3,421.17 and 799.73

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Solution

The fourth proportional to 2,280.68, 3,421.17 and 799.73 is: 1,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.68 : 3,421.17 = 799.73 : x
  2. Step 2: Convert to fraction form
    2,280.68/3,421.17 = 799.73/x
  3. Step 3: Cross multiply
    2,280.68x = 3,421.17 × 799.73
  4. Step 4: Simplify right side
    2,280.68x = 2,736,012.28
  5. Step 5: Solve for x
    x = 2,736,012.28/2,280.68
  6. Step 6: Final answer
    x = 1,199.65

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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.