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Finding the Fourth Proportional to 2,234, 3,352.44 and 866

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Solution

The fourth proportional to 2,234, 3,352.44 and 866 is: 1,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234 : 3,352.44 = 866 : x
  2. Step 2: Convert to fraction form
    2,234/3,352.44 = 866/x
  3. Step 3: Cross multiply
    2,234x = 3,352.44 × 866
  4. Step 4: Simplify right side
    2,234x = 2,903,213.04
  5. Step 5: Solve for x
    x = 2,903,213.04/2,234
  6. Step 6: Final answer
    x = 1,299.56

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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.