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Finding the Fourth Proportional to 2,272.66, 3,408.07 and 712.15

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Solution

The fourth proportional to 2,272.66, 3,408.07 and 712.15 is: 1,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.66 : 3,408.07 = 712.15 : x
  2. Step 2: Convert to fraction form
    2,272.66/3,408.07 = 712.15/x
  3. Step 3: Cross multiply
    2,272.66x = 3,408.07 × 712.15
  4. Step 4: Simplify right side
    2,272.66x = 2,427,057.05
  5. Step 5: Solve for x
    x = 2,427,057.05/2,272.66
  6. Step 6: Final answer
    x = 1,067.94

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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.