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Finding the Fourth Proportional to 2,353.82, 3,249.60 and 1,608.86

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Solution

The fourth proportional to 2,353.82, 3,249.60 and 1,608.86 is: 2,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.82 : 3,249.60 = 1,608.86 : x
  2. Step 2: Convert to fraction form
    2,353.82/3,249.60 = 1,608.86/x
  3. Step 3: Cross multiply
    2,353.82x = 3,249.60 × 1,608.86
  4. Step 4: Simplify right side
    2,353.82x = 5,228,151.46
  5. Step 5: Solve for x
    x = 5,228,151.46/2,353.82
  6. Step 6: Final answer
    x = 2,221.13

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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.