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Finding the Fourth Proportional to 2,731.62, 4,096.42 and 976.15

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Solution

The fourth proportional to 2,731.62, 4,096.42 and 976.15 is: 1,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.62 : 4,096.42 = 976.15 : x
  2. Step 2: Convert to fraction form
    2,731.62/4,096.42 = 976.15/x
  3. Step 3: Cross multiply
    2,731.62x = 4,096.42 × 976.15
  4. Step 4: Simplify right side
    2,731.62x = 3,998,717.14
  5. Step 5: Solve for x
    x = 3,998,717.14/2,731.62
  6. Step 6: Final answer
    x = 1,463.86

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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.