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Finding the Fourth Proportional to 2,091.26, 3,136.02 and 774.70

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Solution

The fourth proportional to 2,091.26, 3,136.02 and 774.70 is: 1,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.26 : 3,136.02 = 774.70 : x
  2. Step 2: Convert to fraction form
    2,091.26/3,136.02 = 774.70/x
  3. Step 3: Cross multiply
    2,091.26x = 3,136.02 × 774.70
  4. Step 4: Simplify right side
    2,091.26x = 2,429,474.69
  5. Step 5: Solve for x
    x = 2,429,474.69/2,091.26
  6. Step 6: Final answer
    x = 1,161.73

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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.