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Finding the Fourth Proportional to 2,001.66, 2,761.85 and 1,161.89

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Solution

The fourth proportional to 2,001.66, 2,761.85 and 1,161.89 is: 1,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.66 : 2,761.85 = 1,161.89 : x
  2. Step 2: Convert to fraction form
    2,001.66/2,761.85 = 1,161.89/x
  3. Step 3: Cross multiply
    2,001.66x = 2,761.85 × 1,161.89
  4. Step 4: Simplify right side
    2,001.66x = 3,208,946.28
  5. Step 5: Solve for x
    x = 3,208,946.28/2,001.66
  6. Step 6: Final answer
    x = 1,603.14

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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.