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Finding the Fourth Proportional to 2,749.88, 3,786.72 and 2,274.23

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Solution

The fourth proportional to 2,749.88, 3,786.72 and 2,274.23 is: 3,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.88 : 3,786.72 = 2,274.23 : x
  2. Step 2: Convert to fraction form
    2,749.88/3,786.72 = 2,274.23/x
  3. Step 3: Cross multiply
    2,749.88x = 3,786.72 × 2,274.23
  4. Step 4: Simplify right side
    2,749.88x = 8,611,872.23
  5. Step 5: Solve for x
    x = 8,611,872.23/2,749.88
  6. Step 6: Final answer
    x = 3,131.73

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