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Finding the Fourth Proportional to 2,115.50, 2,919.29 and 1,171.22

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Solution

The fourth proportional to 2,115.50, 2,919.29 and 1,171.22 is: 1,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.50 : 2,919.29 = 1,171.22 : x
  2. Step 2: Convert to fraction form
    2,115.50/2,919.29 = 1,171.22/x
  3. Step 3: Cross multiply
    2,115.50x = 2,919.29 × 1,171.22
  4. Step 4: Simplify right side
    2,115.50x = 3,419,110.38
  5. Step 5: Solve for x
    x = 3,419,110.38/2,115.50
  6. Step 6: Final answer
    x = 1,616.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.