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Finding the Fourth Proportional to 3,197.75, 4,796.96 and 857.84

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Solution

The fourth proportional to 3,197.75, 4,796.96 and 857.84 is: 1,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.75 : 4,796.96 = 857.84 : x
  2. Step 2: Convert to fraction form
    3,197.75/4,796.96 = 857.84/x
  3. Step 3: Cross multiply
    3,197.75x = 4,796.96 × 857.84
  4. Step 4: Simplify right side
    3,197.75x = 4,114,995.89
  5. Step 5: Solve for x
    x = 4,114,995.89/3,197.75
  6. Step 6: Final answer
    x = 1,286.84

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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.