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Finding the Fourth Proportional to 2,022.44, 3,034.62 and 926.24

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Solution

The fourth proportional to 2,022.44, 3,034.62 and 926.24 is: 1,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.44 : 3,034.62 = 926.24 : x
  2. Step 2: Convert to fraction form
    2,022.44/3,034.62 = 926.24/x
  3. Step 3: Cross multiply
    2,022.44x = 3,034.62 × 926.24
  4. Step 4: Simplify right side
    2,022.44x = 2,810,786.43
  5. Step 5: Solve for x
    x = 2,810,786.43/2,022.44
  6. Step 6: Final answer
    x = 1,389.80

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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.