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Finding the Fourth Proportional to 2,413.50, 3,620.39 and 682.26

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Solution

The fourth proportional to 2,413.50, 3,620.39 and 682.26 is: 1,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.50 : 3,620.39 = 682.26 : x
  2. Step 2: Convert to fraction form
    2,413.50/3,620.39 = 682.26/x
  3. Step 3: Cross multiply
    2,413.50x = 3,620.39 × 682.26
  4. Step 4: Simplify right side
    2,413.50x = 2,470,043.87
  5. Step 5: Solve for x
    x = 2,470,043.87/2,413.50
  6. Step 6: Final answer
    x = 1,023.43

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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.