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Finding the Fourth Proportional to 3,198.89, 4,413.39 and 2,202.39

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Solution

The fourth proportional to 3,198.89, 4,413.39 and 2,202.39 is: 3,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.89 : 4,413.39 = 2,202.39 : x
  2. Step 2: Convert to fraction form
    3,198.89/4,413.39 = 2,202.39/x
  3. Step 3: Cross multiply
    3,198.89x = 4,413.39 × 2,202.39
  4. Step 4: Simplify right side
    3,198.89x = 9,719,997.74
  5. Step 5: Solve for x
    x = 9,719,997.74/3,198.89
  6. Step 6: Final answer
    x = 3,038.55

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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.