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Finding the Fourth Proportional to 1,882.75, 2,824.17 and 896.02

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Solution

The fourth proportional to 1,882.75, 2,824.17 and 896.02 is: 1,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.75 : 2,824.17 = 896.02 : x
  2. Step 2: Convert to fraction form
    1,882.75/2,824.17 = 896.02/x
  3. Step 3: Cross multiply
    1,882.75x = 2,824.17 × 896.02
  4. Step 4: Simplify right side
    1,882.75x = 2,530,512.80
  5. Step 5: Solve for x
    x = 2,530,512.80/1,882.75
  6. Step 6: Final answer
    x = 1,344.05

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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.