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Finding the Fourth Proportional to 2,766.79, 4,149.67 and 818.53

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Solution

The fourth proportional to 2,766.79, 4,149.67 and 818.53 is: 1,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.79 : 4,149.67 = 818.53 : x
  2. Step 2: Convert to fraction form
    2,766.79/4,149.67 = 818.53/x
  3. Step 3: Cross multiply
    2,766.79x = 4,149.67 × 818.53
  4. Step 4: Simplify right side
    2,766.79x = 3,396,620.03
  5. Step 5: Solve for x
    x = 3,396,620.03/2,766.79
  6. Step 6: Final answer
    x = 1,227.64

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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.