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Finding the Fourth Proportional to 1,694.96, 2,538.12 and 827

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Solution

The fourth proportional to 1,694.96, 2,538.12 and 827 is: 1,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.96 : 2,538.12 = 827 : x
  2. Step 2: Convert to fraction form
    1,694.96/2,538.12 = 827/x
  3. Step 3: Cross multiply
    1,694.96x = 2,538.12 × 827
  4. Step 4: Simplify right side
    1,694.96x = 2,099,025.24
  5. Step 5: Solve for x
    x = 2,099,025.24/1,694.96
  6. Step 6: Final answer
    x = 1,238.39

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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.