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Finding the Fourth Proportional to 2,413.84, 3,620.49 and 1,638.82

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Solution

The fourth proportional to 2,413.84, 3,620.49 and 1,638.82 is: 2,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.84 : 3,620.49 = 1,638.82 : x
  2. Step 2: Convert to fraction form
    2,413.84/3,620.49 = 1,638.82/x
  3. Step 3: Cross multiply
    2,413.84x = 3,620.49 × 1,638.82
  4. Step 4: Simplify right side
    2,413.84x = 5,933,331.42
  5. Step 5: Solve for x
    x = 5,933,331.42/2,413.84
  6. Step 6: Final answer
    x = 2,458.05

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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.