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Finding the Fourth Proportional to 2,413.96, 3,620.86 and 770.60

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Solution

The fourth proportional to 2,413.96, 3,620.86 and 770.60 is: 1,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.96 : 3,620.86 = 770.60 : x
  2. Step 2: Convert to fraction form
    2,413.96/3,620.86 = 770.60/x
  3. Step 3: Cross multiply
    2,413.96x = 3,620.86 × 770.60
  4. Step 4: Simplify right side
    2,413.96x = 2,790,234.72
  5. Step 5: Solve for x
    x = 2,790,234.72/2,413.96
  6. Step 6: Final answer
    x = 1,155.87

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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.