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Finding the Fourth Proportional to 2,067.00, 2,852.53 and 1,183.09

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Solution

The fourth proportional to 2,067.00, 2,852.53 and 1,183.09 is: 1,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.00 : 2,852.53 = 1,183.09 : x
  2. Step 2: Convert to fraction form
    2,067.00/2,852.53 = 1,183.09/x
  3. Step 3: Cross multiply
    2,067.00x = 2,852.53 × 1,183.09
  4. Step 4: Simplify right side
    2,067.00x = 3,374,791.72
  5. Step 5: Solve for x
    x = 3,374,791.72/2,067.00
  6. Step 6: Final answer
    x = 1,632.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.