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Finding the Fourth Proportional to 2,896.32, 3,992.16 and 2,371.44

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Solution

The fourth proportional to 2,896.32, 3,992.16 and 2,371.44 is: 3,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.32 : 3,992.16 = 2,371.44 : x
  2. Step 2: Convert to fraction form
    2,896.32/3,992.16 = 2,371.44/x
  3. Step 3: Cross multiply
    2,896.32x = 3,992.16 × 2,371.44
  4. Step 4: Simplify right side
    2,896.32x = 9,467,167.91
  5. Step 5: Solve for x
    x = 9,467,167.91/2,896.32
  6. Step 6: Final answer
    x = 3,268.69

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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.