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Finding the Fourth Proportional to 2,833.92, 3,905.28 and 2,309.04

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Solution

The fourth proportional to 2,833.92, 3,905.28 and 2,309.04 is: 3,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.92 : 3,905.28 = 2,309.04 : x
  2. Step 2: Convert to fraction form
    2,833.92/3,905.28 = 2,309.04/x
  3. Step 3: Cross multiply
    2,833.92x = 3,905.28 × 2,309.04
  4. Step 4: Simplify right side
    2,833.92x = 9,017,447.73
  5. Step 5: Solve for x
    x = 9,017,447.73/2,833.92
  6. Step 6: Final answer
    x = 3,181.97

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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.