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Finding the Fourth Proportional to 2,001.27, 3,003.21 and 905.70

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Solution

The fourth proportional to 2,001.27, 3,003.21 and 905.70 is: 1,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.27 : 3,003.21 = 905.70 : x
  2. Step 2: Convert to fraction form
    2,001.27/3,003.21 = 905.70/x
  3. Step 3: Cross multiply
    2,001.27x = 3,003.21 × 905.70
  4. Step 4: Simplify right side
    2,001.27x = 2,720,007.30
  5. Step 5: Solve for x
    x = 2,720,007.30/2,001.27
  6. Step 6: Final answer
    x = 1,359.14

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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.