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Finding the Fourth Proportional to 1,850.24, 2,553.36 and 1,022.24

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Solution

The fourth proportional to 1,850.24, 2,553.36 and 1,022.24 is: 1,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.24 : 2,553.36 = 1,022.24 : x
  2. Step 2: Convert to fraction form
    1,850.24/2,553.36 = 1,022.24/x
  3. Step 3: Cross multiply
    1,850.24x = 2,553.36 × 1,022.24
  4. Step 4: Simplify right side
    1,850.24x = 2,610,146.73
  5. Step 5: Solve for x
    x = 2,610,146.73/1,850.24
  6. Step 6: Final answer
    x = 1,410.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.