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Finding the Fourth Proportional to 2,023.56, 3,033.98 and 927.33

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Solution

The fourth proportional to 2,023.56, 3,033.98 and 927.33 is: 1,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.56 : 3,033.98 = 927.33 : x
  2. Step 2: Convert to fraction form
    2,023.56/3,033.98 = 927.33/x
  3. Step 3: Cross multiply
    2,023.56x = 3,033.98 × 927.33
  4. Step 4: Simplify right side
    2,023.56x = 2,813,496.04
  5. Step 5: Solve for x
    x = 2,813,496.04/2,023.56
  6. Step 6: Final answer
    x = 1,390.37

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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.