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Finding the Fourth Proportional to 3,193.84, 4,794.36 and 1,736.56

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Solution

The fourth proportional to 3,193.84, 4,794.36 and 1,736.56 is: 2,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.84 : 4,794.36 = 1,736.56 : x
  2. Step 2: Convert to fraction form
    3,193.84/4,794.36 = 1,736.56/x
  3. Step 3: Cross multiply
    3,193.84x = 4,794.36 × 1,736.56
  4. Step 4: Simplify right side
    3,193.84x = 8,325,693.80
  5. Step 5: Solve for x
    x = 8,325,693.80/3,193.84
  6. Step 6: Final answer
    x = 2,606.80

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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.