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Finding the Fourth Proportional to 3,198.69, 4,413.56 and 2,019.13

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Solution

The fourth proportional to 3,198.69, 4,413.56 and 2,019.13 is: 2,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.69 : 4,413.56 = 2,019.13 : x
  2. Step 2: Convert to fraction form
    3,198.69/4,413.56 = 2,019.13/x
  3. Step 3: Cross multiply
    3,198.69x = 4,413.56 × 2,019.13
  4. Step 4: Simplify right side
    3,198.69x = 8,911,530.27
  5. Step 5: Solve for x
    x = 8,911,530.27/3,198.69
  6. Step 6: Final answer
    x = 2,785.99

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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.