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Finding the Fourth Proportional to 3,194.34, 4,789.68 and 1,244.28

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Solution

The fourth proportional to 3,194.34, 4,789.68 and 1,244.28 is: 1,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.34 : 4,789.68 = 1,244.28 : x
  2. Step 2: Convert to fraction form
    3,194.34/4,789.68 = 1,244.28/x
  3. Step 3: Cross multiply
    3,194.34x = 4,789.68 × 1,244.28
  4. Step 4: Simplify right side
    3,194.34x = 5,959,703.03
  5. Step 5: Solve for x
    x = 5,959,703.03/3,194.34
  6. Step 6: Final answer
    x = 1,865.71

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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.