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Finding the Fourth Proportional to 3,190.86, 4,786.29 and 850.95

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Solution

The fourth proportional to 3,190.86, 4,786.29 and 850.95 is: 1,276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.86 : 4,786.29 = 850.95 : x
  2. Step 2: Convert to fraction form
    3,190.86/4,786.29 = 850.95/x
  3. Step 3: Cross multiply
    3,190.86x = 4,786.29 × 850.95
  4. Step 4: Simplify right side
    3,190.86x = 4,072,893.48
  5. Step 5: Solve for x
    x = 4,072,893.48/3,190.86
  6. Step 6: Final answer
    x = 1,276.43

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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.