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Finding the Fourth Proportional to 3,198.61, 4,413.77 and 2,359.77

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Solution

The fourth proportional to 3,198.61, 4,413.77 and 2,359.77 is: 3,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.61 : 4,413.77 = 2,359.77 : x
  2. Step 2: Convert to fraction form
    3,198.61/4,413.77 = 2,359.77/x
  3. Step 3: Cross multiply
    3,198.61x = 4,413.77 × 2,359.77
  4. Step 4: Simplify right side
    3,198.61x = 10,415,462.53
  5. Step 5: Solve for x
    x = 10,415,462.53/3,198.61
  6. Step 6: Final answer
    x = 3,256.25

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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.