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Finding the Fourth Proportional to 3,027.97, 4,544.83 and 1,468.82

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Solution

The fourth proportional to 3,027.97, 4,544.83 and 1,468.82 is: 2,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.97 : 4,544.83 = 1,468.82 : x
  2. Step 2: Convert to fraction form
    3,027.97/4,544.83 = 1,468.82/x
  3. Step 3: Cross multiply
    3,027.97x = 4,544.83 × 1,468.82
  4. Step 4: Simplify right side
    3,027.97x = 6,675,537.20
  5. Step 5: Solve for x
    x = 6,675,537.20/3,027.97
  6. Step 6: Final answer
    x = 2,204.62

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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.