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Finding the Fourth Proportional to 1,627.56, 2,241.22 and 1,593.48

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Solution

The fourth proportional to 1,627.56, 2,241.22 and 1,593.48 is: 2,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.56 : 2,241.22 = 1,593.48 : x
  2. Step 2: Convert to fraction form
    1,627.56/2,241.22 = 1,593.48/x
  3. Step 3: Cross multiply
    1,627.56x = 2,241.22 × 1,593.48
  4. Step 4: Simplify right side
    1,627.56x = 3,571,339.25
  5. Step 5: Solve for x
    x = 3,571,339.25/1,627.56
  6. Step 6: Final answer
    x = 2,194.29

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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.