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Finding the Fourth Proportional to 2,738.88, 4,101.03 and 2,087.64

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Solution

The fourth proportional to 2,738.88, 4,101.03 and 2,087.64 is: 3,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.88 : 4,101.03 = 2,087.64 : x
  2. Step 2: Convert to fraction form
    2,738.88/4,101.03 = 2,087.64/x
  3. Step 3: Cross multiply
    2,738.88x = 4,101.03 × 2,087.64
  4. Step 4: Simplify right side
    2,738.88x = 8,561,474.27
  5. Step 5: Solve for x
    x = 8,561,474.27/2,738.88
  6. Step 6: Final answer
    x = 3,125.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.