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Finding the Fourth Proportional to 3,443.00, 5,163.68 and 1,221.64

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Solution

The fourth proportional to 3,443.00, 5,163.68 and 1,221.64 is: 1,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.00 : 5,163.68 = 1,221.64 : x
  2. Step 2: Convert to fraction form
    3,443.00/5,163.68 = 1,221.64/x
  3. Step 3: Cross multiply
    3,443.00x = 5,163.68 × 1,221.64
  4. Step 4: Simplify right side
    3,443.00x = 6,308,148.18
  5. Step 5: Solve for x
    x = 6,308,148.18/3,443.00
  6. Step 6: Final answer
    x = 1,832.17

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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.