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Finding the Fourth Proportional to 2,413.78, 3,620.26 and 682

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Solution

The fourth proportional to 2,413.78, 3,620.26 and 682 is: 1,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.78 : 3,620.26 = 682 : x
  2. Step 2: Convert to fraction form
    2,413.78/3,620.26 = 682/x
  3. Step 3: Cross multiply
    2,413.78x = 3,620.26 × 682
  4. Step 4: Simplify right side
    2,413.78x = 2,469,017.32
  5. Step 5: Solve for x
    x = 2,469,017.32/2,413.78
  6. Step 6: Final answer
    x = 1,022.88

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Why These Related Problems?

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