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Finding the Fourth Proportional to 3,163.29, 4,365.38 and 1,747.04

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Solution

The fourth proportional to 3,163.29, 4,365.38 and 1,747.04 is: 2,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.29 : 4,365.38 = 1,747.04 : x
  2. Step 2: Convert to fraction form
    3,163.29/4,365.38 = 1,747.04/x
  3. Step 3: Cross multiply
    3,163.29x = 4,365.38 × 1,747.04
  4. Step 4: Simplify right side
    3,163.29x = 7,626,493.48
  5. Step 5: Solve for x
    x = 7,626,493.48/3,163.29
  6. Step 6: Final answer
    x = 2,410.94

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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.