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Finding the Fourth Proportional to 3,198.40, 4,413.28 and 1,800.88

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Solution

The fourth proportional to 3,198.40, 4,413.28 and 1,800.88 is: 2,484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.40 : 4,413.28 = 1,800.88 : x
  2. Step 2: Convert to fraction form
    3,198.40/4,413.28 = 1,800.88/x
  3. Step 3: Cross multiply
    3,198.40x = 4,413.28 × 1,800.88
  4. Step 4: Simplify right side
    3,198.40x = 7,947,787.69
  5. Step 5: Solve for x
    x = 7,947,787.69/3,198.40
  6. Step 6: Final answer
    x = 2,484.93

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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.