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Finding the Fourth Proportional to 2,190.52, 3,286.68 and 1,608.49

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Solution

The fourth proportional to 2,190.52, 3,286.68 and 1,608.49 is: 2,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.52 : 3,286.68 = 1,608.49 : x
  2. Step 2: Convert to fraction form
    2,190.52/3,286.68 = 1,608.49/x
  3. Step 3: Cross multiply
    2,190.52x = 3,286.68 × 1,608.49
  4. Step 4: Simplify right side
    2,190.52x = 5,286,591.91
  5. Step 5: Solve for x
    x = 5,286,591.91/2,190.52
  6. Step 6: Final answer
    x = 2,413.40

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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.