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Finding the Fourth Proportional to 2,853.24, 4,279.22 and 773.43

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Solution

The fourth proportional to 2,853.24, 4,279.22 and 773.43 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.24 : 4,279.22 = 773.43 : x
  2. Step 2: Convert to fraction form
    2,853.24/4,279.22 = 773.43/x
  3. Step 3: Cross multiply
    2,853.24x = 4,279.22 × 773.43
  4. Step 4: Simplify right side
    2,853.24x = 3,309,677.12
  5. Step 5: Solve for x
    x = 3,309,677.12/2,853.24
  6. Step 6: Final answer
    x = 1,159.97

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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.