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Finding the Fourth Proportional to 2,511.56, 3,767.67 and 952.44

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Solution

The fourth proportional to 2,511.56, 3,767.67 and 952.44 is: 1,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.56 : 3,767.67 = 952.44 : x
  2. Step 2: Convert to fraction form
    2,511.56/3,767.67 = 952.44/x
  3. Step 3: Cross multiply
    2,511.56x = 3,767.67 × 952.44
  4. Step 4: Simplify right side
    2,511.56x = 3,588,479.61
  5. Step 5: Solve for x
    x = 3,588,479.61/2,511.56
  6. Step 6: Final answer
    x = 1,428.79

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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.