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Finding the Fourth Proportional to 2,144.60, 3,213.30 and 1,413.80

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Solution

The fourth proportional to 2,144.60, 3,213.30 and 1,413.80 is: 2,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.60 : 3,213.30 = 1,413.80 : x
  2. Step 2: Convert to fraction form
    2,144.60/3,213.30 = 1,413.80/x
  3. Step 3: Cross multiply
    2,144.60x = 3,213.30 × 1,413.80
  4. Step 4: Simplify right side
    2,144.60x = 4,542,963.54
  5. Step 5: Solve for x
    x = 4,542,963.54/2,144.60
  6. Step 6: Final answer
    x = 2,118.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.