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Finding the Fourth Proportional to 2,251.72, 3,377.56 and 953

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Solution

The fourth proportional to 2,251.72, 3,377.56 and 953 is: 1,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.72 : 3,377.56 = 953 : x
  2. Step 2: Convert to fraction form
    2,251.72/3,377.56 = 953/x
  3. Step 3: Cross multiply
    2,251.72x = 3,377.56 × 953
  4. Step 4: Simplify right side
    2,251.72x = 3,218,814.68
  5. Step 5: Solve for x
    x = 3,218,814.68/2,251.72
  6. Step 6: Final answer
    x = 1,429.49

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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.