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Finding the Fourth Proportional to 2,286.32, 3,427.32 and 900.56

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Solution

The fourth proportional to 2,286.32, 3,427.32 and 900.56 is: 1,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.32 : 3,427.32 = 900.56 : x
  2. Step 2: Convert to fraction form
    2,286.32/3,427.32 = 900.56/x
  3. Step 3: Cross multiply
    2,286.32x = 3,427.32 × 900.56
  4. Step 4: Simplify right side
    2,286.32x = 3,086,507.30
  5. Step 5: Solve for x
    x = 3,086,507.30/2,286.32
  6. Step 6: Final answer
    x = 1,349.99

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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.