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Finding the Fourth Proportional to 2,413.89, 3,620.72 and 682.52

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Solution

The fourth proportional to 2,413.89, 3,620.72 and 682.52 is: 1,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.89 : 3,620.72 = 682.52 : x
  2. Step 2: Convert to fraction form
    2,413.89/3,620.72 = 682.52/x
  3. Step 3: Cross multiply
    2,413.89x = 3,620.72 × 682.52
  4. Step 4: Simplify right side
    2,413.89x = 2,471,192.30
  5. Step 5: Solve for x
    x = 2,471,192.30/2,413.89
  6. Step 6: Final answer
    x = 1,023.74

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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.