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Finding the Fourth Proportional to 2,084.80, 2,877.97 and 1,413.44

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Solution

The fourth proportional to 2,084.80, 2,877.97 and 1,413.44 is: 1,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.80 : 2,877.97 = 1,413.44 : x
  2. Step 2: Convert to fraction form
    2,084.80/2,877.97 = 1,413.44/x
  3. Step 3: Cross multiply
    2,084.80x = 2,877.97 × 1,413.44
  4. Step 4: Simplify right side
    2,084.80x = 4,067,837.92
  5. Step 5: Solve for x
    x = 4,067,837.92/2,084.80
  6. Step 6: Final answer
    x = 1,951.19

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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.