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Finding the Fourth Proportional to 2,099.24, 3,147.67 and 927.88

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Solution

The fourth proportional to 2,099.24, 3,147.67 and 927.88 is: 1,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.24 : 3,147.67 = 927.88 : x
  2. Step 2: Convert to fraction form
    2,099.24/3,147.67 = 927.88/x
  3. Step 3: Cross multiply
    2,099.24x = 3,147.67 × 927.88
  4. Step 4: Simplify right side
    2,099.24x = 2,920,660.04
  5. Step 5: Solve for x
    x = 2,920,660.04/2,099.24
  6. Step 6: Final answer
    x = 1,391.29

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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.