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Finding the Fourth Proportional to 1,694.76, 2,542.74 and 828.84

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Solution

The fourth proportional to 1,694.76, 2,542.74 and 828.84 is: 1,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.76 : 2,542.74 = 828.84 : x
  2. Step 2: Convert to fraction form
    1,694.76/2,542.74 = 828.84/x
  3. Step 3: Cross multiply
    1,694.76x = 2,542.74 × 828.84
  4. Step 4: Simplify right side
    1,694.76x = 2,107,524.62
  5. Step 5: Solve for x
    x = 2,107,524.62/1,694.76
  6. Step 6: Final answer
    x = 1,243.55

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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.