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Finding the Fourth Proportional to 3,198.86, 4,413.17 and 2,003.35

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Solution

The fourth proportional to 3,198.86, 4,413.17 and 2,003.35 is: 2,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.86 : 4,413.17 = 2,003.35 : x
  2. Step 2: Convert to fraction form
    3,198.86/4,413.17 = 2,003.35/x
  3. Step 3: Cross multiply
    3,198.86x = 4,413.17 × 2,003.35
  4. Step 4: Simplify right side
    3,198.86x = 8,841,092.04
  5. Step 5: Solve for x
    x = 8,841,092.04/3,198.86
  6. Step 6: Final answer
    x = 2,763.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.