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Finding the Fourth Proportional to 3,194.78, 4,786.22 and 1,735.16

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Solution

The fourth proportional to 3,194.78, 4,786.22 and 1,735.16 is: 2,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.78 : 4,786.22 = 1,735.16 : x
  2. Step 2: Convert to fraction form
    3,194.78/4,786.22 = 1,735.16/x
  3. Step 3: Cross multiply
    3,194.78x = 4,786.22 × 1,735.16
  4. Step 4: Simplify right side
    3,194.78x = 8,304,837.90
  5. Step 5: Solve for x
    x = 8,304,837.90/3,194.78
  6. Step 6: Final answer
    x = 2,599.51

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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.