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Finding the Fourth Proportional to 3,198.16, 4,413.72 and 1,801

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Solution

The fourth proportional to 3,198.16, 4,413.72 and 1,801 is: 2,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.16 : 4,413.72 = 1,801 : x
  2. Step 2: Convert to fraction form
    3,198.16/4,413.72 = 1,801/x
  3. Step 3: Cross multiply
    3,198.16x = 4,413.72 × 1,801
  4. Step 4: Simplify right side
    3,198.16x = 7,949,109.72
  5. Step 5: Solve for x
    x = 7,949,109.72/3,198.16
  6. Step 6: Final answer
    x = 2,485.53

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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.