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Finding the Fourth Proportional to 1,997.19, 2,755.22 and 1,734.75

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Solution

The fourth proportional to 1,997.19, 2,755.22 and 1,734.75 is: 2,393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.19 : 2,755.22 = 1,734.75 : x
  2. Step 2: Convert to fraction form
    1,997.19/2,755.22 = 1,734.75/x
  3. Step 3: Cross multiply
    1,997.19x = 2,755.22 × 1,734.75
  4. Step 4: Simplify right side
    1,997.19x = 4,779,609.22
  5. Step 5: Solve for x
    x = 4,779,609.22/1,997.19
  6. Step 6: Final answer
    x = 2,393.17

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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.