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Finding the Fourth Proportional to 3,194.62, 4,793.84 and 1,345.61

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Solution

The fourth proportional to 3,194.62, 4,793.84 and 1,345.61 is: 2,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.62 : 4,793.84 = 1,345.61 : x
  2. Step 2: Convert to fraction form
    3,194.62/4,793.84 = 1,345.61/x
  3. Step 3: Cross multiply
    3,194.62x = 4,793.84 × 1,345.61
  4. Step 4: Simplify right side
    3,194.62x = 6,450,639.04
  5. Step 5: Solve for x
    x = 6,450,639.04/3,194.62
  6. Step 6: Final answer
    x = 2,019.22

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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.