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Finding the Fourth Proportional to 2,786.17, 4,179.86 and 838.22

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Solution

The fourth proportional to 2,786.17, 4,179.86 and 838.22 is: 1,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.17 : 4,179.86 = 838.22 : x
  2. Step 2: Convert to fraction form
    2,786.17/4,179.86 = 838.22/x
  3. Step 3: Cross multiply
    2,786.17x = 4,179.86 × 838.22
  4. Step 4: Simplify right side
    2,786.17x = 3,503,635.98
  5. Step 5: Solve for x
    x = 3,503,635.98/2,786.17
  6. Step 6: Final answer
    x = 1,257.51

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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.