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Finding the Fourth Proportional to 2,766.42, 4,149.14 and 1,205.55

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Solution

The fourth proportional to 2,766.42, 4,149.14 and 1,205.55 is: 1,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.42 : 4,149.14 = 1,205.55 : x
  2. Step 2: Convert to fraction form
    2,766.42/4,149.14 = 1,205.55/x
  3. Step 3: Cross multiply
    2,766.42x = 4,149.14 × 1,205.55
  4. Step 4: Simplify right side
    2,766.42x = 5,001,989.70
  5. Step 5: Solve for x
    x = 5,001,989.70/2,766.42
  6. Step 6: Final answer
    x = 1,808.11

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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.