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Finding the Fourth Proportional to 2,474.89, 3,413.48 and 1,578.89

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Solution

The fourth proportional to 2,474.89, 3,413.48 and 1,578.89 is: 2,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.89 : 3,413.48 = 1,578.89 : x
  2. Step 2: Convert to fraction form
    2,474.89/3,413.48 = 1,578.89/x
  3. Step 3: Cross multiply
    2,474.89x = 3,413.48 × 1,578.89
  4. Step 4: Simplify right side
    2,474.89x = 5,389,510.08
  5. Step 5: Solve for x
    x = 5,389,510.08/2,474.89
  6. Step 6: Final answer
    x = 2,177.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.