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Finding the Fourth Proportional to 2,443.15, 3,663.36 and 799.56

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Solution

The fourth proportional to 2,443.15, 3,663.36 and 799.56 is: 1,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.15 : 3,663.36 = 799.56 : x
  2. Step 2: Convert to fraction form
    2,443.15/3,663.36 = 799.56/x
  3. Step 3: Cross multiply
    2,443.15x = 3,663.36 × 799.56
  4. Step 4: Simplify right side
    2,443.15x = 2,929,076.12
  5. Step 5: Solve for x
    x = 2,929,076.12/2,443.15
  6. Step 6: Final answer
    x = 1,198.89

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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.