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Finding the Fourth Proportional to 2,549.62, 3,824.43 and 1,087.84

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Solution

The fourth proportional to 2,549.62, 3,824.43 and 1,087.84 is: 1,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.62 : 3,824.43 = 1,087.84 : x
  2. Step 2: Convert to fraction form
    2,549.62/3,824.43 = 1,087.84/x
  3. Step 3: Cross multiply
    2,549.62x = 3,824.43 × 1,087.84
  4. Step 4: Simplify right side
    2,549.62x = 4,160,367.93
  5. Step 5: Solve for x
    x = 4,160,367.93/2,549.62
  6. Step 6: Final answer
    x = 1,631.76

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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.