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Finding the Fourth Proportional to 1,996.65, 2,755.40 and 1,157.41

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Solution

The fourth proportional to 1,996.65, 2,755.40 and 1,157.41 is: 1,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.65 : 2,755.40 = 1,157.41 : x
  2. Step 2: Convert to fraction form
    1,996.65/2,755.40 = 1,157.41/x
  3. Step 3: Cross multiply
    1,996.65x = 2,755.40 × 1,157.41
  4. Step 4: Simplify right side
    1,996.65x = 3,189,113.74
  5. Step 5: Solve for x
    x = 3,189,113.74/1,996.65
  6. Step 6: Final answer
    x = 1,597.24

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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.