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Finding the Fourth Proportional to 2,062.25, 3,093.38 and 523.25

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Solution

The fourth proportional to 2,062.25, 3,093.38 and 523.25 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.25 : 3,093.38 = 523.25 : x
  2. Step 2: Convert to fraction form
    2,062.25/3,093.38 = 523.25/x
  3. Step 3: Cross multiply
    2,062.25x = 3,093.38 × 523.25
  4. Step 4: Simplify right side
    2,062.25x = 1,618,611.09
  5. Step 5: Solve for x
    x = 1,618,611.09/2,062.25
  6. Step 6: Final answer
    x = 784.88

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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.