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Finding the Fourth Proportional to 3,198.68, 4,413.88 and 2,359.84

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Solution

The fourth proportional to 3,198.68, 4,413.88 and 2,359.84 is: 3,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.68 : 4,413.88 = 2,359.84 : x
  2. Step 2: Convert to fraction form
    3,198.68/4,413.88 = 2,359.84/x
  3. Step 3: Cross multiply
    3,198.68x = 4,413.88 × 2,359.84
  4. Step 4: Simplify right side
    3,198.68x = 10,416,050.58
  5. Step 5: Solve for x
    x = 10,416,050.58/3,198.68
  6. Step 6: Final answer
    x = 3,256.36

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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.