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Finding the Fourth Proportional to 3,194.82, 4,794.96 and 1,809.52

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Solution

The fourth proportional to 3,194.82, 4,794.96 and 1,809.52 is: 2,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.82 : 4,794.96 = 1,809.52 : x
  2. Step 2: Convert to fraction form
    3,194.82/4,794.96 = 1,809.52/x
  3. Step 3: Cross multiply
    3,194.82x = 4,794.96 × 1,809.52
  4. Step 4: Simplify right side
    3,194.82x = 8,676,576.02
  5. Step 5: Solve for x
    x = 8,676,576.02/3,194.82
  6. Step 6: Final answer
    x = 2,715.83

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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.