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Finding the Fourth Proportional to 3,194.64, 4,791.69 and 1,246.32

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Solution

The fourth proportional to 3,194.64, 4,791.69 and 1,246.32 is: 1,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.64 : 4,791.69 = 1,246.32 : x
  2. Step 2: Convert to fraction form
    3,194.64/4,791.69 = 1,246.32/x
  3. Step 3: Cross multiply
    3,194.64x = 4,791.69 × 1,246.32
  4. Step 4: Simplify right side
    3,194.64x = 5,971,979.08
  5. Step 5: Solve for x
    x = 5,971,979.08/3,194.64
  6. Step 6: Final answer
    x = 1,869.37

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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.