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Finding the Fourth Proportional to 2,561.82, 3,843.93 and 1,523.88

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Solution

The fourth proportional to 2,561.82, 3,843.93 and 1,523.88 is: 2,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.82 : 3,843.93 = 1,523.88 : x
  2. Step 2: Convert to fraction form
    2,561.82/3,843.93 = 1,523.88/x
  3. Step 3: Cross multiply
    2,561.82x = 3,843.93 × 1,523.88
  4. Step 4: Simplify right side
    2,561.82x = 5,857,688.05
  5. Step 5: Solve for x
    x = 5,857,688.05/2,561.82
  6. Step 6: Final answer
    x = 2,286.53

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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.