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Finding the Fourth Proportional to 3,198.38, 4,413.94 and 1,801.22

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Solution

The fourth proportional to 3,198.38, 4,413.94 and 1,801.22 is: 2,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.38 : 4,413.94 = 1,801.22 : x
  2. Step 2: Convert to fraction form
    3,198.38/4,413.94 = 1,801.22/x
  3. Step 3: Cross multiply
    3,198.38x = 4,413.94 × 1,801.22
  4. Step 4: Simplify right side
    3,198.38x = 7,950,450.43
  5. Step 5: Solve for x
    x = 7,950,450.43/3,198.38
  6. Step 6: Final answer
    x = 2,485.78

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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.