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Finding the Fourth Proportional to 2,413.14, 3,619.70 and 681.76

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Solution

The fourth proportional to 2,413.14, 3,619.70 and 681.76 is: 1,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.14 : 3,619.70 = 681.76 : x
  2. Step 2: Convert to fraction form
    2,413.14/3,619.70 = 681.76/x
  3. Step 3: Cross multiply
    2,413.14x = 3,619.70 × 681.76
  4. Step 4: Simplify right side
    2,413.14x = 2,467,766.67
  5. Step 5: Solve for x
    x = 2,467,766.67/2,413.14
  6. Step 6: Final answer
    x = 1,022.64

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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.