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Finding the Fourth Proportional to 3,134.38, 4,701.57 and 825.88

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Solution

The fourth proportional to 3,134.38, 4,701.57 and 825.88 is: 1,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.38 : 4,701.57 = 825.88 : x
  2. Step 2: Convert to fraction form
    3,134.38/4,701.57 = 825.88/x
  3. Step 3: Cross multiply
    3,134.38x = 4,701.57 × 825.88
  4. Step 4: Simplify right side
    3,134.38x = 3,882,904.99
  5. Step 5: Solve for x
    x = 3,882,904.99/3,134.38
  6. Step 6: Final answer
    x = 1,238.81

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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.