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Finding the Fourth Proportional to 1,694.28, 2,539.68 and 827.52

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Solution

The fourth proportional to 1,694.28, 2,539.68 and 827.52 is: 1,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.28 : 2,539.68 = 827.52 : x
  2. Step 2: Convert to fraction form
    1,694.28/2,539.68 = 827.52/x
  3. Step 3: Cross multiply
    1,694.28x = 2,539.68 × 827.52
  4. Step 4: Simplify right side
    1,694.28x = 2,101,635.99
  5. Step 5: Solve for x
    x = 2,101,635.99/1,694.28
  6. Step 6: Final answer
    x = 1,240.43

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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.