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Finding the Fourth Proportional to 2,243.48, 3,096.17 and 1,299.53

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Solution

The fourth proportional to 2,243.48, 3,096.17 and 1,299.53 is: 1,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.48 : 3,096.17 = 1,299.53 : x
  2. Step 2: Convert to fraction form
    2,243.48/3,096.17 = 1,299.53/x
  3. Step 3: Cross multiply
    2,243.48x = 3,096.17 × 1,299.53
  4. Step 4: Simplify right side
    2,243.48x = 4,023,543.82
  5. Step 5: Solve for x
    x = 4,023,543.82/2,243.48
  6. Step 6: Final answer
    x = 1,793.44

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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.