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Finding the Fourth Proportional to 3,193.62, 4,783.46 and 1,546.68

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Solution

The fourth proportional to 3,193.62, 4,783.46 and 1,546.68 is: 2,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.62 : 4,783.46 = 1,546.68 : x
  2. Step 2: Convert to fraction form
    3,193.62/4,783.46 = 1,546.68/x
  3. Step 3: Cross multiply
    3,193.62x = 4,783.46 × 1,546.68
  4. Step 4: Simplify right side
    3,193.62x = 7,398,481.91
  5. Step 5: Solve for x
    x = 7,398,481.91/3,193.62
  6. Step 6: Final answer
    x = 2,316.64

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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.