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Finding the Fourth Proportional to 1,806.89, 2,711.41 and 1,257.98

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Solution

The fourth proportional to 1,806.89, 2,711.41 and 1,257.98 is: 1,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.89 : 2,711.41 = 1,257.98 : x
  2. Step 2: Convert to fraction form
    1,806.89/2,711.41 = 1,257.98/x
  3. Step 3: Cross multiply
    1,806.89x = 2,711.41 × 1,257.98
  4. Step 4: Simplify right side
    1,806.89x = 3,410,882.85
  5. Step 5: Solve for x
    x = 3,410,882.85/1,806.89
  6. Step 6: Final answer
    x = 1,887.71

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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.