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Finding the Fourth Proportional to 2,755.17, 4,132.73 and 675.18

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Solution

The fourth proportional to 2,755.17, 4,132.73 and 675.18 is: 1,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.17 : 4,132.73 = 675.18 : x
  2. Step 2: Convert to fraction form
    2,755.17/4,132.73 = 675.18/x
  3. Step 3: Cross multiply
    2,755.17x = 4,132.73 × 675.18
  4. Step 4: Simplify right side
    2,755.17x = 2,790,333.27
  5. Step 5: Solve for x
    x = 2,790,333.27/2,755.17
  6. Step 6: Final answer
    x = 1,012.76

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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.