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Finding the Fourth Proportional to 3,176.43, 4,764.99 and 1,096.20

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Solution

The fourth proportional to 3,176.43, 4,764.99 and 1,096.20 is: 1,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.43 : 4,764.99 = 1,096.20 : x
  2. Step 2: Convert to fraction form
    3,176.43/4,764.99 = 1,096.20/x
  3. Step 3: Cross multiply
    3,176.43x = 4,764.99 × 1,096.20
  4. Step 4: Simplify right side
    3,176.43x = 5,223,382.04
  5. Step 5: Solve for x
    x = 5,223,382.04/3,176.43
  6. Step 6: Final answer
    x = 1,644.42

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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.