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Finding the Fourth Proportional to 1,883.20, 2,824.68 and 843.28

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Solution

The fourth proportional to 1,883.20, 2,824.68 and 843.28 is: 1,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.20 : 2,824.68 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,883.20/2,824.68 = 843.28/x
  3. Step 3: Cross multiply
    1,883.20x = 2,824.68 × 843.28
  4. Step 4: Simplify right side
    1,883.20x = 2,381,996.15
  5. Step 5: Solve for x
    x = 2,381,996.15/1,883.20
  6. Step 6: Final answer
    x = 1,264.87

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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.