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Finding the Fourth Proportional to 3,167, 4,370.70 and 2,331.53

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Solution

The fourth proportional to 3,167, 4,370.70 and 2,331.53 is: 3,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167 : 4,370.70 = 2,331.53 : x
  2. Step 2: Convert to fraction form
    3,167/4,370.70 = 2,331.53/x
  3. Step 3: Cross multiply
    3,167x = 4,370.70 × 2,331.53
  4. Step 4: Simplify right side
    3,167x = 10,190,418.17
  5. Step 5: Solve for x
    x = 10,190,418.17/3,167
  6. Step 6: Final answer
    x = 3,217.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.