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Finding the Fourth Proportional to 3,169.78, 4,374.91 and 1,843.69

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Solution

The fourth proportional to 3,169.78, 4,374.91 and 1,843.69 is: 2,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.78 : 4,374.91 = 1,843.69 : x
  2. Step 2: Convert to fraction form
    3,169.78/4,374.91 = 1,843.69/x
  3. Step 3: Cross multiply
    3,169.78x = 4,374.91 × 1,843.69
  4. Step 4: Simplify right side
    3,169.78x = 8,065,965.08
  5. Step 5: Solve for x
    x = 8,065,965.08/3,169.78
  6. Step 6: Final answer
    x = 2,544.64

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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.