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Finding the Fourth Proportional to 2,755.72, 4,132.35 and 881.14

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Solution

The fourth proportional to 2,755.72, 4,132.35 and 881.14 is: 1,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.72 : 4,132.35 = 881.14 : x
  2. Step 2: Convert to fraction form
    2,755.72/4,132.35 = 881.14/x
  3. Step 3: Cross multiply
    2,755.72x = 4,132.35 × 881.14
  4. Step 4: Simplify right side
    2,755.72x = 3,641,178.88
  5. Step 5: Solve for x
    x = 3,641,178.88/2,755.72
  6. Step 6: Final answer
    x = 1,321.32

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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.