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Finding the Fourth Proportional to 2,112.22, 3,168.39 and 573.22

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Solution

The fourth proportional to 2,112.22, 3,168.39 and 573.22 is: 859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.22 : 3,168.39 = 573.22 : x
  2. Step 2: Convert to fraction form
    2,112.22/3,168.39 = 573.22/x
  3. Step 3: Cross multiply
    2,112.22x = 3,168.39 × 573.22
  4. Step 4: Simplify right side
    2,112.22x = 1,816,184.52
  5. Step 5: Solve for x
    x = 1,816,184.52/2,112.22
  6. Step 6: Final answer
    x = 859.85

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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.