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Finding the Fourth Proportional to 2,413.31, 3,620.50 and 953.96

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Solution

The fourth proportional to 2,413.31, 3,620.50 and 953.96 is: 1,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.31 : 3,620.50 = 953.96 : x
  2. Step 2: Convert to fraction form
    2,413.31/3,620.50 = 953.96/x
  3. Step 3: Cross multiply
    2,413.31x = 3,620.50 × 953.96
  4. Step 4: Simplify right side
    2,413.31x = 3,453,791.69
  5. Step 5: Solve for x
    x = 3,453,791.69/2,413.31
  6. Step 6: Final answer
    x = 1,431.15

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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.