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Finding the Fourth Proportional to 3,198.94, 4,413.24 and 1,957.66

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Solution

The fourth proportional to 3,198.94, 4,413.24 and 1,957.66 is: 2,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.94 : 4,413.24 = 1,957.66 : x
  2. Step 2: Convert to fraction form
    3,198.94/4,413.24 = 1,957.66/x
  3. Step 3: Cross multiply
    3,198.94x = 4,413.24 × 1,957.66
  4. Step 4: Simplify right side
    3,198.94x = 8,639,623.42
  5. Step 5: Solve for x
    x = 8,639,623.42/3,198.94
  6. Step 6: Final answer
    x = 2,700.78

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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.