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Finding the Fourth Proportional to 2,731.22, 3,770.25 and 2,132.22

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Solution

The fourth proportional to 2,731.22, 3,770.25 and 2,132.22 is: 2,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.22 : 3,770.25 = 2,132.22 : x
  2. Step 2: Convert to fraction form
    2,731.22/3,770.25 = 2,132.22/x
  3. Step 3: Cross multiply
    2,731.22x = 3,770.25 × 2,132.22
  4. Step 4: Simplify right side
    2,731.22x = 8,039,008.60
  5. Step 5: Solve for x
    x = 8,039,008.60/2,731.22
  6. Step 6: Final answer
    x = 2,943.38

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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.