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Finding the Fourth Proportional to 2,760, 3,797.64 and 2,664.24

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Solution

The fourth proportional to 2,760, 3,797.64 and 2,664.24 is: 3,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760 : 3,797.64 = 2,664.24 : x
  2. Step 2: Convert to fraction form
    2,760/3,797.64 = 2,664.24/x
  3. Step 3: Cross multiply
    2,760x = 3,797.64 × 2,664.24
  4. Step 4: Simplify right side
    2,760x = 10,117,824.39
  5. Step 5: Solve for x
    x = 10,117,824.39/2,760
  6. Step 6: Final answer
    x = 3,665.88

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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.