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Finding the Fourth Proportional to 2,796, 4,194.24 and 744

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Solution

The fourth proportional to 2,796, 4,194.24 and 744 is: 1,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796 : 4,194.24 = 744 : x
  2. Step 2: Convert to fraction form
    2,796/4,194.24 = 744/x
  3. Step 3: Cross multiply
    2,796x = 4,194.24 × 744
  4. Step 4: Simplify right side
    2,796x = 3,120,514.56
  5. Step 5: Solve for x
    x = 3,120,514.56/2,796
  6. Step 6: Final answer
    x = 1,116.06

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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.