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Finding the Fourth Proportional to 2,278.90, 3,413.83 and 1,149.78

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Solution

The fourth proportional to 2,278.90, 3,413.83 and 1,149.78 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.90 : 3,413.83 = 1,149.78 : x
  2. Step 2: Convert to fraction form
    2,278.90/3,413.83 = 1,149.78/x
  3. Step 3: Cross multiply
    2,278.90x = 3,413.83 × 1,149.78
  4. Step 4: Simplify right side
    2,278.90x = 3,925,153.46
  5. Step 5: Solve for x
    x = 3,925,153.46/2,278.90
  6. Step 6: Final answer
    x = 1,722.39

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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.