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Finding the Fourth Proportional to 3,194.73, 4,786.34 and 2,674.17

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Solution

The fourth proportional to 3,194.73, 4,786.34 and 2,674.17 is: 4,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.73 : 4,786.34 = 2,674.17 : x
  2. Step 2: Convert to fraction form
    3,194.73/4,786.34 = 2,674.17/x
  3. Step 3: Cross multiply
    3,194.73x = 4,786.34 × 2,674.17
  4. Step 4: Simplify right side
    3,194.73x = 12,799,473.47
  5. Step 5: Solve for x
    x = 12,799,473.47/3,194.73
  6. Step 6: Final answer
    x = 4,006.43

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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.