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Finding the Fourth Proportional to 2,112.62, 3,168.54 and 573.26

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Solution

The fourth proportional to 2,112.62, 3,168.54 and 573.26 is: 859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.62 : 3,168.54 = 573.26 : x
  2. Step 2: Convert to fraction form
    2,112.62/3,168.54 = 573.26/x
  3. Step 3: Cross multiply
    2,112.62x = 3,168.54 × 573.26
  4. Step 4: Simplify right side
    2,112.62x = 1,816,397.24
  5. Step 5: Solve for x
    x = 1,816,397.24/2,112.62
  6. Step 6: Final answer
    x = 859.78

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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.