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Finding the Fourth Proportional to 2,517.49, 3,776.29 and 1,413.97

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Solution

The fourth proportional to 2,517.49, 3,776.29 and 1,413.97 is: 2,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.49 : 3,776.29 = 1,413.97 : x
  2. Step 2: Convert to fraction form
    2,517.49/3,776.29 = 1,413.97/x
  3. Step 3: Cross multiply
    2,517.49x = 3,776.29 × 1,413.97
  4. Step 4: Simplify right side
    2,517.49x = 5,339,534.82
  5. Step 5: Solve for x
    x = 5,339,534.82/2,517.49
  6. Step 6: Final answer
    x = 2,120.98

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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.