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Finding the Fourth Proportional to 3,198.72, 4,413.18 and 1,871.47

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Solution

The fourth proportional to 3,198.72, 4,413.18 and 1,871.47 is: 2,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.72 : 4,413.18 = 1,871.47 : x
  2. Step 2: Convert to fraction form
    3,198.72/4,413.18 = 1,871.47/x
  3. Step 3: Cross multiply
    3,198.72x = 4,413.18 × 1,871.47
  4. Step 4: Simplify right side
    3,198.72x = 8,259,146.51
  5. Step 5: Solve for x
    x = 8,259,146.51/3,198.72
  6. Step 6: Final answer
    x = 2,582.01

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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.