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Finding the Fourth Proportional to 2,621.52, 3,932.22 and 673.71

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Solution

The fourth proportional to 2,621.52, 3,932.22 and 673.71 is: 1,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.52 : 3,932.22 = 673.71 : x
  2. Step 2: Convert to fraction form
    2,621.52/3,932.22 = 673.71/x
  3. Step 3: Cross multiply
    2,621.52x = 3,932.22 × 673.71
  4. Step 4: Simplify right side
    2,621.52x = 2,649,175.94
  5. Step 5: Solve for x
    x = 2,649,175.94/2,621.52
  6. Step 6: Final answer
    x = 1,010.55

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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.