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Finding the Fourth Proportional to 3,198.47, 4,413.48 and 1,781.80

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Solution

The fourth proportional to 3,198.47, 4,413.48 and 1,781.80 is: 2,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.47 : 4,413.48 = 1,781.80 : x
  2. Step 2: Convert to fraction form
    3,198.47/4,413.48 = 1,781.80/x
  3. Step 3: Cross multiply
    3,198.47x = 4,413.48 × 1,781.80
  4. Step 4: Simplify right side
    3,198.47x = 7,863,938.66
  5. Step 5: Solve for x
    x = 7,863,938.66/3,198.47
  6. Step 6: Final answer
    x = 2,458.66

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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.