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Finding the Fourth Proportional to 3,105.91, 4,658.87 and 914.47

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Solution

The fourth proportional to 3,105.91, 4,658.87 and 914.47 is: 1,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.91 : 4,658.87 = 914.47 : x
  2. Step 2: Convert to fraction form
    3,105.91/4,658.87 = 914.47/x
  3. Step 3: Cross multiply
    3,105.91x = 4,658.87 × 914.47
  4. Step 4: Simplify right side
    3,105.91x = 4,260,396.85
  5. Step 5: Solve for x
    x = 4,260,396.85/3,105.91
  6. Step 6: Final answer
    x = 1,371.71

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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.