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Finding the Fourth Proportional to 3,169.94, 4,372.70 and 1,843.50

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Solution

The fourth proportional to 3,169.94, 4,372.70 and 1,843.50 is: 2,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.94 : 4,372.70 = 1,843.50 : x
  2. Step 2: Convert to fraction form
    3,169.94/4,372.70 = 1,843.50/x
  3. Step 3: Cross multiply
    3,169.94x = 4,372.70 × 1,843.50
  4. Step 4: Simplify right side
    3,169.94x = 8,061,072.45
  5. Step 5: Solve for x
    x = 8,061,072.45/3,169.94
  6. Step 6: Final answer
    x = 2,542.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.