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Finding the Fourth Proportional to 3,247.98, 4,873.41 and 1,195.50

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Solution

The fourth proportional to 3,247.98, 4,873.41 and 1,195.50 is: 1,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.98 : 4,873.41 = 1,195.50 : x
  2. Step 2: Convert to fraction form
    3,247.98/4,873.41 = 1,195.50/x
  3. Step 3: Cross multiply
    3,247.98x = 4,873.41 × 1,195.50
  4. Step 4: Simplify right side
    3,247.98x = 5,826,161.66
  5. Step 5: Solve for x
    x = 5,826,161.66/3,247.98
  6. Step 6: Final answer
    x = 1,793.78

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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.