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Finding the Fourth Proportional to 2,022.26, 3,029.11 and 927.54

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Solution

The fourth proportional to 2,022.26, 3,029.11 and 927.54 is: 1,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.26 : 3,029.11 = 927.54 : x
  2. Step 2: Convert to fraction form
    2,022.26/3,029.11 = 927.54/x
  3. Step 3: Cross multiply
    2,022.26x = 3,029.11 × 927.54
  4. Step 4: Simplify right side
    2,022.26x = 2,809,618.37
  5. Step 5: Solve for x
    x = 2,809,618.37/2,022.26
  6. Step 6: Final answer
    x = 1,389.35

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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.