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Finding the Fourth Proportional to 2,672.76, 3,996 and 2,266.44

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Solution

The fourth proportional to 2,672.76, 3,996 and 2,266.44 is: 3,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.76 : 3,996 = 2,266.44 : x
  2. Step 2: Convert to fraction form
    2,672.76/3,996 = 2,266.44/x
  3. Step 3: Cross multiply
    2,672.76x = 3,996 × 2,266.44
  4. Step 4: Simplify right side
    2,672.76x = 9,056,694.24
  5. Step 5: Solve for x
    x = 9,056,694.24/2,672.76
  6. Step 6: Final answer
    x = 3,388.52

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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.