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Finding the Fourth Proportional to 2,000.93, 2,761.22 and 1,161.69

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Solution

The fourth proportional to 2,000.93, 2,761.22 and 1,161.69 is: 1,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.93 : 2,761.22 = 1,161.69 : x
  2. Step 2: Convert to fraction form
    2,000.93/2,761.22 = 1,161.69/x
  3. Step 3: Cross multiply
    2,000.93x = 2,761.22 × 1,161.69
  4. Step 4: Simplify right side
    2,000.93x = 3,207,675.85
  5. Step 5: Solve for x
    x = 3,207,675.85/2,000.93
  6. Step 6: Final answer
    x = 1,603.10

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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.