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Finding the Fourth Proportional to 2,892.21, 3,997.81 and 2,662.57

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Solution

The fourth proportional to 2,892.21, 3,997.81 and 2,662.57 is: 3,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.21 : 3,997.81 = 2,662.57 : x
  2. Step 2: Convert to fraction form
    2,892.21/3,997.81 = 2,662.57/x
  3. Step 3: Cross multiply
    2,892.21x = 3,997.81 × 2,662.57
  4. Step 4: Simplify right side
    2,892.21x = 10,644,442.32
  5. Step 5: Solve for x
    x = 10,644,442.32/2,892.21
  6. Step 6: Final answer
    x = 3,680.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.