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Finding the Fourth Proportional to 2,149.09, 3,223.64 and 850.55

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Solution

The fourth proportional to 2,149.09, 3,223.64 and 850.55 is: 1,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.09 : 3,223.64 = 850.55 : x
  2. Step 2: Convert to fraction form
    2,149.09/3,223.64 = 850.55/x
  3. Step 3: Cross multiply
    2,149.09x = 3,223.64 × 850.55
  4. Step 4: Simplify right side
    2,149.09x = 2,741,853.01
  5. Step 5: Solve for x
    x = 2,741,853.01/2,149.09
  6. Step 6: Final answer
    x = 1,275.82

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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.