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Finding the Fourth Proportional to 2,733.87, 4,099.89 and 884.49

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Solution

The fourth proportional to 2,733.87, 4,099.89 and 884.49 is: 1,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.87 : 4,099.89 = 884.49 : x
  2. Step 2: Convert to fraction form
    2,733.87/4,099.89 = 884.49/x
  3. Step 3: Cross multiply
    2,733.87x = 4,099.89 × 884.49
  4. Step 4: Simplify right side
    2,733.87x = 3,626,286.78
  5. Step 5: Solve for x
    x = 3,626,286.78/2,733.87
  6. Step 6: Final answer
    x = 1,326.43

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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.