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Finding the Fourth Proportional to 2,413.67, 3,620.31 and 952.82

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Solution

The fourth proportional to 2,413.67, 3,620.31 and 952.82 is: 1,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.67 : 3,620.31 = 952.82 : x
  2. Step 2: Convert to fraction form
    2,413.67/3,620.31 = 952.82/x
  3. Step 3: Cross multiply
    2,413.67x = 3,620.31 × 952.82
  4. Step 4: Simplify right side
    2,413.67x = 3,449,503.77
  5. Step 5: Solve for x
    x = 3,449,503.77/2,413.67
  6. Step 6: Final answer
    x = 1,429.15

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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.