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Finding the Fourth Proportional to 2,000.89, 2,761.23 and 1,161.64

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Solution

The fourth proportional to 2,000.89, 2,761.23 and 1,161.64 is: 1,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.89 : 2,761.23 = 1,161.64 : x
  2. Step 2: Convert to fraction form
    2,000.89/2,761.23 = 1,161.64/x
  3. Step 3: Cross multiply
    2,000.89x = 2,761.23 × 1,161.64
  4. Step 4: Simplify right side
    2,000.89x = 3,207,555.22
  5. Step 5: Solve for x
    x = 3,207,555.22/2,000.89
  6. Step 6: Final answer
    x = 1,603.06

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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.