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Finding the Fourth Proportional to 2,443.37, 3,665.24 and 884.30

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Solution

The fourth proportional to 2,443.37, 3,665.24 and 884.30 is: 1,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.37 : 3,665.24 = 884.30 : x
  2. Step 2: Convert to fraction form
    2,443.37/3,665.24 = 884.30/x
  3. Step 3: Cross multiply
    2,443.37x = 3,665.24 × 884.30
  4. Step 4: Simplify right side
    2,443.37x = 3,241,171.73
  5. Step 5: Solve for x
    x = 3,241,171.73/2,443.37
  6. Step 6: Final answer
    x = 1,326.52

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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.