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Finding the Fourth Proportional to 2,072.70, 3,110.26 and 774.27

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Solution

The fourth proportional to 2,072.70, 3,110.26 and 774.27 is: 1,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.70 : 3,110.26 = 774.27 : x
  2. Step 2: Convert to fraction form
    2,072.70/3,110.26 = 774.27/x
  3. Step 3: Cross multiply
    2,072.70x = 3,110.26 × 774.27
  4. Step 4: Simplify right side
    2,072.70x = 2,408,181.01
  5. Step 5: Solve for x
    x = 2,408,181.01/2,072.70
  6. Step 6: Final answer
    x = 1,161.86

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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.