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Finding the Fourth Proportional to 2,105.75, 3,157.41 and 935.75

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Solution

The fourth proportional to 2,105.75, 3,157.41 and 935.75 is: 1,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.75 : 3,157.41 = 935.75 : x
  2. Step 2: Convert to fraction form
    2,105.75/3,157.41 = 935.75/x
  3. Step 3: Cross multiply
    2,105.75x = 3,157.41 × 935.75
  4. Step 4: Simplify right side
    2,105.75x = 2,954,546.41
  5. Step 5: Solve for x
    x = 2,954,546.41/2,105.75
  6. Step 6: Final answer
    x = 1,403.09

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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.