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Finding the Fourth Proportional to 2,723.98, 4,087.53 and 1,163.80

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Solution

The fourth proportional to 2,723.98, 4,087.53 and 1,163.80 is: 1,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.98 : 4,087.53 = 1,163.80 : x
  2. Step 2: Convert to fraction form
    2,723.98/4,087.53 = 1,163.80/x
  3. Step 3: Cross multiply
    2,723.98x = 4,087.53 × 1,163.80
  4. Step 4: Simplify right side
    2,723.98x = 4,757,067.41
  5. Step 5: Solve for x
    x = 4,757,067.41/2,723.98
  6. Step 6: Final answer
    x = 1,746.37

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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.