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Finding the Fourth Proportional to 2,000.75, 2,761.17 and 1,161.73

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Solution

The fourth proportional to 2,000.75, 2,761.17 and 1,161.73 is: 1,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.75 : 2,761.17 = 1,161.73 : x
  2. Step 2: Convert to fraction form
    2,000.75/2,761.17 = 1,161.73/x
  3. Step 3: Cross multiply
    2,000.75x = 2,761.17 × 1,161.73
  4. Step 4: Simplify right side
    2,000.75x = 3,207,734.02
  5. Step 5: Solve for x
    x = 3,207,734.02/2,000.75
  6. Step 6: Final answer
    x = 1,603.27

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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.