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Finding the Fourth Proportional to 2,413.42, 3,620.34 and 682.06

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Solution

The fourth proportional to 2,413.42, 3,620.34 and 682.06 is: 1,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.42 : 3,620.34 = 682.06 : x
  2. Step 2: Convert to fraction form
    2,413.42/3,620.34 = 682.06/x
  3. Step 3: Cross multiply
    2,413.42x = 3,620.34 × 682.06
  4. Step 4: Simplify right side
    2,413.42x = 2,469,289.10
  5. Step 5: Solve for x
    x = 2,469,289.10/2,413.42
  6. Step 6: Final answer
    x = 1,023.15

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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.