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Finding the Fourth Proportional to 3,197.91, 4,413.18 and 1,781.52

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Solution

The fourth proportional to 3,197.91, 4,413.18 and 1,781.52 is: 2,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.91 : 4,413.18 = 1,781.52 : x
  2. Step 2: Convert to fraction form
    3,197.91/4,413.18 = 1,781.52/x
  3. Step 3: Cross multiply
    3,197.91x = 4,413.18 × 1,781.52
  4. Step 4: Simplify right side
    3,197.91x = 7,862,168.43
  5. Step 5: Solve for x
    x = 7,862,168.43/3,197.91
  6. Step 6: Final answer
    x = 2,458.53

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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.