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Finding the Fourth Proportional to 2,243.79, 3,096.83 and 1,299.44

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Solution

The fourth proportional to 2,243.79, 3,096.83 and 1,299.44 is: 1,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.79 : 3,096.83 = 1,299.44 : x
  2. Step 2: Convert to fraction form
    2,243.79/3,096.83 = 1,299.44/x
  3. Step 3: Cross multiply
    2,243.79x = 3,096.83 × 1,299.44
  4. Step 4: Simplify right side
    2,243.79x = 4,024,155.77
  5. Step 5: Solve for x
    x = 4,024,155.77/2,243.79
  6. Step 6: Final answer
    x = 1,793.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.