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Finding the Fourth Proportional to 3,198.80, 4,798.16 and 1,747.20

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Solution

The fourth proportional to 3,198.80, 4,798.16 and 1,747.20 is: 2,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.80 : 4,798.16 = 1,747.20 : x
  2. Step 2: Convert to fraction form
    3,198.80/4,798.16 = 1,747.20/x
  3. Step 3: Cross multiply
    3,198.80x = 4,798.16 × 1,747.20
  4. Step 4: Simplify right side
    3,198.80x = 8,383,345.15
  5. Step 5: Solve for x
    x = 8,383,345.15/3,198.80
  6. Step 6: Final answer
    x = 2,620.78

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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.