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Finding the Fourth Proportional to 2,114.43, 3,170.71 and 727.39

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Solution

The fourth proportional to 2,114.43, 3,170.71 and 727.39 is: 1,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.43 : 3,170.71 = 727.39 : x
  2. Step 2: Convert to fraction form
    2,114.43/3,170.71 = 727.39/x
  3. Step 3: Cross multiply
    2,114.43x = 3,170.71 × 727.39
  4. Step 4: Simplify right side
    2,114.43x = 2,306,342.75
  5. Step 5: Solve for x
    x = 2,306,342.75/2,114.43
  6. Step 6: Final answer
    x = 1,090.76

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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.