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Finding the Fourth Proportional to 1,996.14, 2,992.23 and 1,173.30

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Solution

The fourth proportional to 1,996.14, 2,992.23 and 1,173.30 is: 1,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.14 : 2,992.23 = 1,173.30 : x
  2. Step 2: Convert to fraction form
    1,996.14/2,992.23 = 1,173.30/x
  3. Step 3: Cross multiply
    1,996.14x = 2,992.23 × 1,173.30
  4. Step 4: Simplify right side
    1,996.14x = 3,510,783.46
  5. Step 5: Solve for x
    x = 3,510,783.46/1,996.14
  6. Step 6: Final answer
    x = 1,758.79

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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.