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Finding the Fourth Proportional to 2,872.40, 3,961.73 and 2,474.73

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Solution

The fourth proportional to 2,872.40, 3,961.73 and 2,474.73 is: 3,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.40 : 3,961.73 = 2,474.73 : x
  2. Step 2: Convert to fraction form
    2,872.40/3,961.73 = 2,474.73/x
  3. Step 3: Cross multiply
    2,872.40x = 3,961.73 × 2,474.73
  4. Step 4: Simplify right side
    2,872.40x = 9,804,199.71
  5. Step 5: Solve for x
    x = 9,804,199.71/2,872.40
  6. Step 6: Final answer
    x = 3,413.25

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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.