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Finding the Fourth Proportional to 3,215.70, 4,438.17 and 2,331.18

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Solution

The fourth proportional to 3,215.70, 4,438.17 and 2,331.18 is: 3,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.70 : 4,438.17 = 2,331.18 : x
  2. Step 2: Convert to fraction form
    3,215.70/4,438.17 = 2,331.18/x
  3. Step 3: Cross multiply
    3,215.70x = 4,438.17 × 2,331.18
  4. Step 4: Simplify right side
    3,215.70x = 10,346,173.14
  5. Step 5: Solve for x
    x = 10,346,173.14/3,215.70
  6. Step 6: Final answer
    x = 3,217.39

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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.