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Finding the Fourth Proportional to 2,608.82, 3,896.16 and 2,089.62

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Solution

The fourth proportional to 2,608.82, 3,896.16 and 2,089.62 is: 3,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.82 : 3,896.16 = 2,089.62 : x
  2. Step 2: Convert to fraction form
    2,608.82/3,896.16 = 2,089.62/x
  3. Step 3: Cross multiply
    2,608.82x = 3,896.16 × 2,089.62
  4. Step 4: Simplify right side
    2,608.82x = 8,141,493.86
  5. Step 5: Solve for x
    x = 8,141,493.86/2,608.82
  6. Step 6: Final answer
    x = 3,120.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.