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Finding the Fourth Proportional to 3,197.95, 4,413.15 and 1,781.70

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Solution

The fourth proportional to 3,197.95, 4,413.15 and 1,781.70 is: 2,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.95 : 4,413.15 = 1,781.70 : x
  2. Step 2: Convert to fraction form
    3,197.95/4,413.15 = 1,781.70/x
  3. Step 3: Cross multiply
    3,197.95x = 4,413.15 × 1,781.70
  4. Step 4: Simplify right side
    3,197.95x = 7,862,892.81
  5. Step 5: Solve for x
    x = 7,862,892.81/3,197.95
  6. Step 6: Final answer
    x = 2,458.73

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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.