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Finding the Fourth Proportional to 3,243.58, 4,863.15 and 1,163.54

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Solution

The fourth proportional to 3,243.58, 4,863.15 and 1,163.54 is: 1,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.58 : 4,863.15 = 1,163.54 : x
  2. Step 2: Convert to fraction form
    3,243.58/4,863.15 = 1,163.54/x
  3. Step 3: Cross multiply
    3,243.58x = 4,863.15 × 1,163.54
  4. Step 4: Simplify right side
    3,243.58x = 5,658,469.55
  5. Step 5: Solve for x
    x = 5,658,469.55/3,243.58
  6. Step 6: Final answer
    x = 1,744.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.