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Finding the Fourth Proportional to 1,997.01, 2,755.68 and 1,100.75

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Solution

The fourth proportional to 1,997.01, 2,755.68 and 1,100.75 is: 1,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.01 : 2,755.68 = 1,100.75 : x
  2. Step 2: Convert to fraction form
    1,997.01/2,755.68 = 1,100.75/x
  3. Step 3: Cross multiply
    1,997.01x = 2,755.68 × 1,100.75
  4. Step 4: Simplify right side
    1,997.01x = 3,033,300.98
  5. Step 5: Solve for x
    x = 3,033,300.98/1,997.01
  6. Step 6: Final answer
    x = 1,518.92

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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.