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Finding the Fourth Proportional to 2,286.27, 3,429.57 and 2,014.24

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Solution

The fourth proportional to 2,286.27, 3,429.57 and 2,014.24 is: 3,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.27 : 3,429.57 = 2,014.24 : x
  2. Step 2: Convert to fraction form
    2,286.27/3,429.57 = 2,014.24/x
  3. Step 3: Cross multiply
    2,286.27x = 3,429.57 × 2,014.24
  4. Step 4: Simplify right side
    2,286.27x = 6,907,977.08
  5. Step 5: Solve for x
    x = 6,907,977.08/2,286.27
  6. Step 6: Final answer
    x = 3,021.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.