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Finding the Fourth Proportional to 2,824.32, 3,896.28 and 2,233.92

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Solution

The fourth proportional to 2,824.32, 3,896.28 and 2,233.92 is: 3,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.32 : 3,896.28 = 2,233.92 : x
  2. Step 2: Convert to fraction form
    2,824.32/3,896.28 = 2,233.92/x
  3. Step 3: Cross multiply
    2,824.32x = 3,896.28 × 2,233.92
  4. Step 4: Simplify right side
    2,824.32x = 8,703,977.82
  5. Step 5: Solve for x
    x = 8,703,977.82/2,824.32
  6. Step 6: Final answer
    x = 3,081.80

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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.