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Finding the Fourth Proportional to 2,736.94, 3,766.04 and 2,660.39

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Solution

The fourth proportional to 2,736.94, 3,766.04 and 2,660.39 is: 3,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.94 : 3,766.04 = 2,660.39 : x
  2. Step 2: Convert to fraction form
    2,736.94/3,766.04 = 2,660.39/x
  3. Step 3: Cross multiply
    2,736.94x = 3,766.04 × 2,660.39
  4. Step 4: Simplify right side
    2,736.94x = 10,019,131.27
  5. Step 5: Solve for x
    x = 10,019,131.27/2,736.94
  6. Step 6: Final answer
    x = 3,660.71

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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.