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Finding the Fourth Proportional to 2,105.95, 2,906.22 and 1,161.72

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Solution

The fourth proportional to 2,105.95, 2,906.22 and 1,161.72 is: 1,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.95 : 2,906.22 = 1,161.72 : x
  2. Step 2: Convert to fraction form
    2,105.95/2,906.22 = 1,161.72/x
  3. Step 3: Cross multiply
    2,105.95x = 2,906.22 × 1,161.72
  4. Step 4: Simplify right side
    2,105.95x = 3,376,224.80
  5. Step 5: Solve for x
    x = 3,376,224.80/2,105.95
  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.