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Finding the Fourth Proportional to 2,443.24, 3,665.31 and 800.94

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Solution

The fourth proportional to 2,443.24, 3,665.31 and 800.94 is: 1,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.24 : 3,665.31 = 800.94 : x
  2. Step 2: Convert to fraction form
    2,443.24/3,665.31 = 800.94/x
  3. Step 3: Cross multiply
    2,443.24x = 3,665.31 × 800.94
  4. Step 4: Simplify right side
    2,443.24x = 2,935,693.39
  5. Step 5: Solve for x
    x = 2,935,693.39/2,443.24
  6. Step 6: Final answer
    x = 1,201.56

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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.