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Finding the Fourth Proportional to 2,067.86, 2,853.72 and 1,183.74

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Solution

The fourth proportional to 2,067.86, 2,853.72 and 1,183.74 is: 1,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.86 : 2,853.72 = 1,183.74 : x
  2. Step 2: Convert to fraction form
    2,067.86/2,853.72 = 1,183.74/x
  3. Step 3: Cross multiply
    2,067.86x = 2,853.72 × 1,183.74
  4. Step 4: Simplify right side
    2,067.86x = 3,378,062.51
  5. Step 5: Solve for x
    x = 3,378,062.51/2,067.86
  6. Step 6: Final answer
    x = 1,633.60

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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.