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Finding the Fourth Proportional to 3,194.06, 4,789.04 and 1,344.68

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Solution

The fourth proportional to 3,194.06, 4,789.04 and 1,344.68 is: 2,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.06 : 4,789.04 = 1,344.68 : x
  2. Step 2: Convert to fraction form
    3,194.06/4,789.04 = 1,344.68/x
  3. Step 3: Cross multiply
    3,194.06x = 4,789.04 × 1,344.68
  4. Step 4: Simplify right side
    3,194.06x = 6,439,702.02
  5. Step 5: Solve for x
    x = 6,439,702.02/3,194.06
  6. Step 6: Final answer
    x = 2,016.15

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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.