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Finding the Fourth Proportional to 2,003.31, 3,003.83 and 906.63

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Solution

The fourth proportional to 2,003.31, 3,003.83 and 906.63 is: 1,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.31 : 3,003.83 = 906.63 : x
  2. Step 2: Convert to fraction form
    2,003.31/3,003.83 = 906.63/x
  3. Step 3: Cross multiply
    2,003.31x = 3,003.83 × 906.63
  4. Step 4: Simplify right side
    2,003.31x = 2,723,357.86
  5. Step 5: Solve for x
    x = 2,723,357.86/2,003.31
  6. Step 6: Final answer
    x = 1,359.43

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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.