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Finding the Fourth Proportional to 1,996.09, 2,992.08 and 901.22

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Solution

The fourth proportional to 1,996.09, 2,992.08 and 901.22 is: 1,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.09 : 2,992.08 = 901.22 : x
  2. Step 2: Convert to fraction form
    1,996.09/2,992.08 = 901.22/x
  3. Step 3: Cross multiply
    1,996.09x = 2,992.08 × 901.22
  4. Step 4: Simplify right side
    1,996.09x = 2,696,507.38
  5. Step 5: Solve for x
    x = 2,696,507.38/1,996.09
  6. Step 6: Final answer
    x = 1,350.90

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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.