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Finding the Fourth Proportional to 2,892.32, 3,991.92 and 2,105.36

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Solution

The fourth proportional to 2,892.32, 3,991.92 and 2,105.36 is: 2,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.32 : 3,991.92 = 2,105.36 : x
  2. Step 2: Convert to fraction form
    2,892.32/3,991.92 = 2,105.36/x
  3. Step 3: Cross multiply
    2,892.32x = 3,991.92 × 2,105.36
  4. Step 4: Simplify right side
    2,892.32x = 8,404,428.69
  5. Step 5: Solve for x
    x = 8,404,428.69/2,892.32
  6. Step 6: Final answer
    x = 2,905.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.