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Finding the Fourth Proportional to 3,257.17, 4,885.72 and 791.99

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Solution

The fourth proportional to 3,257.17, 4,885.72 and 791.99 is: 1,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.17 : 4,885.72 = 791.99 : x
  2. Step 2: Convert to fraction form
    3,257.17/4,885.72 = 791.99/x
  3. Step 3: Cross multiply
    3,257.17x = 4,885.72 × 791.99
  4. Step 4: Simplify right side
    3,257.17x = 3,869,434.78
  5. Step 5: Solve for x
    x = 3,869,434.78/3,257.17
  6. Step 6: Final answer
    x = 1,187.97

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1.5x scale

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.