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Finding the Fourth Proportional to 2,814.31, 4,221.73 and 734.31

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Solution

The fourth proportional to 2,814.31, 4,221.73 and 734.31 is: 1,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.31 : 4,221.73 = 734.31 : x
  2. Step 2: Convert to fraction form
    2,814.31/4,221.73 = 734.31/x
  3. Step 3: Cross multiply
    2,814.31x = 4,221.73 × 734.31
  4. Step 4: Simplify right side
    2,814.31x = 3,100,058.56
  5. Step 5: Solve for x
    x = 3,100,058.56/2,814.31
  6. Step 6: Final answer
    x = 1,101.53

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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.