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Finding the Fourth Proportional to 2,697.05, 3,721.97 and 1,634.78

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Solution

The fourth proportional to 2,697.05, 3,721.97 and 1,634.78 is: 2,256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.05 : 3,721.97 = 1,634.78 : x
  2. Step 2: Convert to fraction form
    2,697.05/3,721.97 = 1,634.78/x
  3. Step 3: Cross multiply
    2,697.05x = 3,721.97 × 1,634.78
  4. Step 4: Simplify right side
    2,697.05x = 6,084,575.33
  5. Step 5: Solve for x
    x = 6,084,575.33/2,697.05
  6. Step 6: Final answer
    x = 2,256.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.