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Finding the Fourth Proportional to 2,286.89, 3,137.14 and 2,226.05

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Solution

The fourth proportional to 2,286.89, 3,137.14 and 2,226.05 is: 3,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.89 : 3,137.14 = 2,226.05 : x
  2. Step 2: Convert to fraction form
    2,286.89/3,137.14 = 2,226.05/x
  3. Step 3: Cross multiply
    2,286.89x = 3,137.14 × 2,226.05
  4. Step 4: Simplify right side
    2,286.89x = 6,983,419.37
  5. Step 5: Solve for x
    x = 6,983,419.37/2,286.89
  6. Step 6: Final answer
    x = 3,053.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.