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Finding the Fourth Proportional to 1,997.64, 2,755.23 and 1,466.34

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Solution

The fourth proportional to 1,997.64, 2,755.23 and 1,466.34 is: 2,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.64 : 2,755.23 = 1,466.34 : x
  2. Step 2: Convert to fraction form
    1,997.64/2,755.23 = 1,466.34/x
  3. Step 3: Cross multiply
    1,997.64x = 2,755.23 × 1,466.34
  4. Step 4: Simplify right side
    1,997.64x = 4,040,103.96
  5. Step 5: Solve for x
    x = 4,040,103.96/1,997.64
  6. Step 6: Final answer
    x = 2,022.44

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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.