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Finding the Fourth Proportional to 2,099.56, 3,149.34 and 943.96

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Solution

The fourth proportional to 2,099.56, 3,149.34 and 943.96 is: 1,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.56 : 3,149.34 = 943.96 : x
  2. Step 2: Convert to fraction form
    2,099.56/3,149.34 = 943.96/x
  3. Step 3: Cross multiply
    2,099.56x = 3,149.34 × 943.96
  4. Step 4: Simplify right side
    2,099.56x = 2,972,850.99
  5. Step 5: Solve for x
    x = 2,972,850.99/2,099.56
  6. Step 6: Final answer
    x = 1,415.94

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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.