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Finding the Fourth Proportional to 3,272, 4,908.48 and 1,954.96

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Solution

The fourth proportional to 3,272, 4,908.48 and 1,954.96 is: 2,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272 : 4,908.48 = 1,954.96 : x
  2. Step 2: Convert to fraction form
    3,272/4,908.48 = 1,954.96/x
  3. Step 3: Cross multiply
    3,272x = 4,908.48 × 1,954.96
  4. Step 4: Simplify right side
    3,272x = 9,595,882.06
  5. Step 5: Solve for x
    x = 9,595,882.06/3,272
  6. Step 6: Final answer
    x = 2,932.73

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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.