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Finding the Fourth Proportional to 2,105.89, 2,906.15 and 1,161.72

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Solution

The fourth proportional to 2,105.89, 2,906.15 and 1,161.72 is: 1,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.89 : 2,906.15 = 1,161.72 : x
  2. Step 2: Convert to fraction form
    2,105.89/2,906.15 = 1,161.72/x
  3. Step 3: Cross multiply
    2,105.89x = 2,906.15 × 1,161.72
  4. Step 4: Simplify right side
    2,105.89x = 3,376,132.58
  5. Step 5: Solve for x
    x = 3,376,132.58/2,105.89
  6. Step 6: Final answer
    x = 1,603.19

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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.