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Finding the Fourth Proportional to 3,454.26, 4,766.85 and 1,882.26

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Solution

The fourth proportional to 3,454.26, 4,766.85 and 1,882.26 is: 2,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.26 : 4,766.85 = 1,882.26 : x
  2. Step 2: Convert to fraction form
    3,454.26/4,766.85 = 1,882.26/x
  3. Step 3: Cross multiply
    3,454.26x = 4,766.85 × 1,882.26
  4. Step 4: Simplify right side
    3,454.26x = 8,972,451.08
  5. Step 5: Solve for x
    x = 8,972,451.08/3,454.26
  6. Step 6: Final answer
    x = 2,597.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.