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Finding the Fourth Proportional to 2,003.33, 3,003.78 and 906.19

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Solution

The fourth proportional to 2,003.33, 3,003.78 and 906.19 is: 1,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.33 : 3,003.78 = 906.19 : x
  2. Step 2: Convert to fraction form
    2,003.33/3,003.78 = 906.19/x
  3. Step 3: Cross multiply
    2,003.33x = 3,003.78 × 906.19
  4. Step 4: Simplify right side
    2,003.33x = 2,721,991.29
  5. Step 5: Solve for x
    x = 2,721,991.29/2,003.33
  6. Step 6: Final answer
    x = 1,358.73

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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.