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Finding the Fourth Proportional to 1,996.99, 2,755.64 and 1,157.96

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Solution

The fourth proportional to 1,996.99, 2,755.64 and 1,157.96 is: 1,597.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.99 : 2,755.64 = 1,157.96 : x
  2. Step 2: Convert to fraction form
    1,996.99/2,755.64 = 1,157.96/x
  3. Step 3: Cross multiply
    1,996.99x = 2,755.64 × 1,157.96
  4. Step 4: Simplify right side
    1,996.99x = 3,190,930.68
  5. Step 5: Solve for x
    x = 3,190,930.68/1,996.99
  6. Step 6: Final answer
    x = 1,597.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.