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Finding the Fourth Proportional to 1,996.38, 2,990.82 and 1,172.19

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Solution

The fourth proportional to 1,996.38, 2,990.82 and 1,172.19 is: 1,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.38 : 2,990.82 = 1,172.19 : x
  2. Step 2: Convert to fraction form
    1,996.38/2,990.82 = 1,172.19/x
  3. Step 3: Cross multiply
    1,996.38x = 2,990.82 × 1,172.19
  4. Step 4: Simplify right side
    1,996.38x = 3,505,809.30
  5. Step 5: Solve for x
    x = 3,505,809.30/1,996.38
  6. Step 6: Final answer
    x = 1,756.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.