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Finding the Fourth Proportional to 3,234, 4,462.92 and 1,762

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Solution

The fourth proportional to 3,234, 4,462.92 and 1,762 is: 2,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234 : 4,462.92 = 1,762 : x
  2. Step 2: Convert to fraction form
    3,234/4,462.92 = 1,762/x
  3. Step 3: Cross multiply
    3,234x = 4,462.92 × 1,762
  4. Step 4: Simplify right side
    3,234x = 7,863,665.04
  5. Step 5: Solve for x
    x = 7,863,665.04/3,234
  6. Step 6: Final answer
    x = 2,431.56

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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.