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Finding the Fourth Proportional to 2,334.27, 3,220.97 and 1,286.40

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Solution

The fourth proportional to 2,334.27, 3,220.97 and 1,286.40 is: 1,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.27 : 3,220.97 = 1,286.40 : x
  2. Step 2: Convert to fraction form
    2,334.27/3,220.97 = 1,286.40/x
  3. Step 3: Cross multiply
    2,334.27x = 3,220.97 × 1,286.40
  4. Step 4: Simplify right side
    2,334.27x = 4,143,449.38
  5. Step 5: Solve for x
    x = 4,143,449.38/2,334.27
  6. Step 6: Final answer
    x = 1,775.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.