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Finding the Fourth Proportional to 2,755.92, 4,122.60 and 2,294.33

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Solution

The fourth proportional to 2,755.92, 4,122.60 and 2,294.33 is: 3,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.92 : 4,122.60 = 2,294.33 : x
  2. Step 2: Convert to fraction form
    2,755.92/4,122.60 = 2,294.33/x
  3. Step 3: Cross multiply
    2,755.92x = 4,122.60 × 2,294.33
  4. Step 4: Simplify right side
    2,755.92x = 9,458,575.64
  5. Step 5: Solve for x
    x = 9,458,575.64/2,755.92
  6. Step 6: Final answer
    x = 3,432.09

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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.