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Finding the Fourth Proportional to 2,896.52, 3,998.97 and 2,232.09

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Solution

The fourth proportional to 2,896.52, 3,998.97 and 2,232.09 is: 3,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.52 : 3,998.97 = 2,232.09 : x
  2. Step 2: Convert to fraction form
    2,896.52/3,998.97 = 2,232.09/x
  3. Step 3: Cross multiply
    2,896.52x = 3,998.97 × 2,232.09
  4. Step 4: Simplify right side
    2,896.52x = 8,926,060.95
  5. Step 5: Solve for x
    x = 8,926,060.95/2,896.52
  6. Step 6: Final answer
    x = 3,081.66

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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.