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Finding the Fourth Proportional to 2,413.85, 3,329.24 and 2,040.23

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Solution

The fourth proportional to 2,413.85, 3,329.24 and 2,040.23 is: 2,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.85 : 3,329.24 = 2,040.23 : x
  2. Step 2: Convert to fraction form
    2,413.85/3,329.24 = 2,040.23/x
  3. Step 3: Cross multiply
    2,413.85x = 3,329.24 × 2,040.23
  4. Step 4: Simplify right side
    2,413.85x = 6,792,413.45
  5. Step 5: Solve for x
    x = 6,792,413.45/2,413.85
  6. Step 6: Final answer
    x = 2,813.94

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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.