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Finding the Fourth Proportional to 2,766.26, 4,149.26 and 1,034.75

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Solution

The fourth proportional to 2,766.26, 4,149.26 and 1,034.75 is: 1,552.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.26 : 4,149.26 = 1,034.75 : x
  2. Step 2: Convert to fraction form
    2,766.26/4,149.26 = 1,034.75/x
  3. Step 3: Cross multiply
    2,766.26x = 4,149.26 × 1,034.75
  4. Step 4: Simplify right side
    2,766.26x = 4,293,441.61
  5. Step 5: Solve for x
    x = 4,293,441.61/2,766.26
  6. Step 6: Final answer
    x = 1,552.07

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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.