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Finding the Fourth Proportional to 2,413.97, 3,620.69 and 1,638.95

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Solution

The fourth proportional to 2,413.97, 3,620.69 and 1,638.95 is: 2,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.97 : 3,620.69 = 1,638.95 : x
  2. Step 2: Convert to fraction form
    2,413.97/3,620.69 = 1,638.95/x
  3. Step 3: Cross multiply
    2,413.97x = 3,620.69 × 1,638.95
  4. Step 4: Simplify right side
    2,413.97x = 5,934,130.73
  5. Step 5: Solve for x
    x = 5,934,130.73/2,413.97
  6. Step 6: Final answer
    x = 2,458.25

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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.