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Finding the Fourth Proportional to 1,883.91, 2,824.17 and 896.12

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Solution

The fourth proportional to 1,883.91, 2,824.17 and 896.12 is: 1,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.91 : 2,824.17 = 896.12 : x
  2. Step 2: Convert to fraction form
    1,883.91/2,824.17 = 896.12/x
  3. Step 3: Cross multiply
    1,883.91x = 2,824.17 × 896.12
  4. Step 4: Simplify right side
    1,883.91x = 2,530,781.10
  5. Step 5: Solve for x
    x = 2,530,781.10/1,883.91
  6. Step 6: Final answer
    x = 1,343.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.