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Finding the Fourth Proportional to 3,096.64, 4,644.78 and 1,147.96

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Solution

The fourth proportional to 3,096.64, 4,644.78 and 1,147.96 is: 1,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.64 : 4,644.78 = 1,147.96 : x
  2. Step 2: Convert to fraction form
    3,096.64/4,644.78 = 1,147.96/x
  3. Step 3: Cross multiply
    3,096.64x = 4,644.78 × 1,147.96
  4. Step 4: Simplify right side
    3,096.64x = 5,332,021.65
  5. Step 5: Solve for x
    x = 5,332,021.65/3,096.64
  6. Step 6: Final answer
    x = 1,721.87

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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.