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Finding the Fourth Proportional to 2,856.57, 4,286.22 and 1,394.91

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Solution

The fourth proportional to 2,856.57, 4,286.22 and 1,394.91 is: 2,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.57 : 4,286.22 = 1,394.91 : x
  2. Step 2: Convert to fraction form
    2,856.57/4,286.22 = 1,394.91/x
  3. Step 3: Cross multiply
    2,856.57x = 4,286.22 × 1,394.91
  4. Step 4: Simplify right side
    2,856.57x = 5,978,891.14
  5. Step 5: Solve for x
    x = 5,978,891.14/2,856.57
  6. Step 6: Final answer
    x = 2,093.03

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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.