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Finding the Fourth Proportional to 2,766.14, 4,150.02 and 818.39

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Solution

The fourth proportional to 2,766.14, 4,150.02 and 818.39 is: 1,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.14 : 4,150.02 = 818.39 : x
  2. Step 2: Convert to fraction form
    2,766.14/4,150.02 = 818.39/x
  3. Step 3: Cross multiply
    2,766.14x = 4,150.02 × 818.39
  4. Step 4: Simplify right side
    2,766.14x = 3,396,345.24
  5. Step 5: Solve for x
    x = 3,396,345.24/2,766.14
  6. Step 6: Final answer
    x = 1,227.83

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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.