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Finding the Fourth Proportional to 3,198.63, 4,414.38 and 1,801.65

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Solution

The fourth proportional to 3,198.63, 4,414.38 and 1,801.65 is: 2,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.63 : 4,414.38 = 1,801.65 : x
  2. Step 2: Convert to fraction form
    3,198.63/4,414.38 = 1,801.65/x
  3. Step 3: Cross multiply
    3,198.63x = 4,414.38 × 1,801.65
  4. Step 4: Simplify right side
    3,198.63x = 7,953,167.73
  5. Step 5: Solve for x
    x = 7,953,167.73/3,198.63
  6. Step 6: Final answer
    x = 2,486.43

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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.