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Finding the Fourth Proportional to 2,251.74, 3,377.97 and 953.22

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Solution

The fourth proportional to 2,251.74, 3,377.97 and 953.22 is: 1,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.74 : 3,377.97 = 953.22 : x
  2. Step 2: Convert to fraction form
    2,251.74/3,377.97 = 953.22/x
  3. Step 3: Cross multiply
    2,251.74x = 3,377.97 × 953.22
  4. Step 4: Simplify right side
    2,251.74x = 3,219,948.56
  5. Step 5: Solve for x
    x = 3,219,948.56/2,251.74
  6. Step 6: Final answer
    x = 1,429.98

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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.