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Finding the Fourth Proportional to 1,942.26, 2,912.78 and 771.80

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Solution

The fourth proportional to 1,942.26, 2,912.78 and 771.80 is: 1,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.26 : 2,912.78 = 771.80 : x
  2. Step 2: Convert to fraction form
    1,942.26/2,912.78 = 771.80/x
  3. Step 3: Cross multiply
    1,942.26x = 2,912.78 × 771.80
  4. Step 4: Simplify right side
    1,942.26x = 2,248,083.60
  5. Step 5: Solve for x
    x = 2,248,083.60/1,942.26
  6. Step 6: Final answer
    x = 1,157.46

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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.