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Finding the Fourth Proportional to 2,675.54, 3,691.41 and 1,627.22

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Solution

The fourth proportional to 2,675.54, 3,691.41 and 1,627.22 is: 2,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.54 : 3,691.41 = 1,627.22 : x
  2. Step 2: Convert to fraction form
    2,675.54/3,691.41 = 1,627.22/x
  3. Step 3: Cross multiply
    2,675.54x = 3,691.41 × 1,627.22
  4. Step 4: Simplify right side
    2,675.54x = 6,006,736.18
  5. Step 5: Solve for x
    x = 6,006,736.18/2,675.54
  6. Step 6: Final answer
    x = 2,245.06

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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.