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Finding the Fourth Proportional to 1,996.74, 2,755.85 and 1,157.31

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Solution

The fourth proportional to 1,996.74, 2,755.85 and 1,157.31 is: 1,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.74 : 2,755.85 = 1,157.31 : x
  2. Step 2: Convert to fraction form
    1,996.74/2,755.85 = 1,157.31/x
  3. Step 3: Cross multiply
    1,996.74x = 2,755.85 × 1,157.31
  4. Step 4: Simplify right side
    1,996.74x = 3,189,366.98
  5. Step 5: Solve for x
    x = 3,189,366.98/1,996.74
  6. Step 6: Final answer
    x = 1,597.29

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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.