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Finding the Fourth Proportional to 2,173.25, 2,997.96 and 1,375.22

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Solution

The fourth proportional to 2,173.25, 2,997.96 and 1,375.22 is: 1,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.25 : 2,997.96 = 1,375.22 : x
  2. Step 2: Convert to fraction form
    2,173.25/2,997.96 = 1,375.22/x
  3. Step 3: Cross multiply
    2,173.25x = 2,997.96 × 1,375.22
  4. Step 4: Simplify right side
    2,173.25x = 4,122,839.56
  5. Step 5: Solve for x
    x = 4,122,839.56/2,173.25
  6. Step 6: Final answer
    x = 1,897.09

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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.