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Finding the Fourth Proportional to 3,198.84, 4,413.06 and 2,149.08

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Solution

The fourth proportional to 3,198.84, 4,413.06 and 2,149.08 is: 2,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.84 : 4,413.06 = 2,149.08 : x
  2. Step 2: Convert to fraction form
    3,198.84/4,413.06 = 2,149.08/x
  3. Step 3: Cross multiply
    3,198.84x = 4,413.06 × 2,149.08
  4. Step 4: Simplify right side
    3,198.84x = 9,484,018.98
  5. Step 5: Solve for x
    x = 9,484,018.98/3,198.84
  6. Step 6: Final answer
    x = 2,964.83

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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.