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Finding the Fourth Proportional to 2,413.92, 3,620.69 and 953.09

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Solution

The fourth proportional to 2,413.92, 3,620.69 and 953.09 is: 1,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.92 : 3,620.69 = 953.09 : x
  2. Step 2: Convert to fraction form
    2,413.92/3,620.69 = 953.09/x
  3. Step 3: Cross multiply
    2,413.92x = 3,620.69 × 953.09
  4. Step 4: Simplify right side
    2,413.92x = 3,450,820.56
  5. Step 5: Solve for x
    x = 3,450,820.56/2,413.92
  6. Step 6: Final answer
    x = 1,429.55

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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.