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Finding the Fourth Proportional to 2,413.76, 3,620.64 and 682.16

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Solution

The fourth proportional to 2,413.76, 3,620.64 and 682.16 is: 1,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.76 : 3,620.64 = 682.16 : x
  2. Step 2: Convert to fraction form
    2,413.76/3,620.64 = 682.16/x
  3. Step 3: Cross multiply
    2,413.76x = 3,620.64 × 682.16
  4. Step 4: Simplify right side
    2,413.76x = 2,469,855.78
  5. Step 5: Solve for x
    x = 2,469,855.78/2,413.76
  6. Step 6: Final answer
    x = 1,023.24

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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.