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Finding the Fourth Proportional to 2,504.52, 3,738.42 and 2,324.34

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Solution

The fourth proportional to 2,504.52, 3,738.42 and 2,324.34 is: 3,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.52 : 3,738.42 = 2,324.34 : x
  2. Step 2: Convert to fraction form
    2,504.52/3,738.42 = 2,324.34/x
  3. Step 3: Cross multiply
    2,504.52x = 3,738.42 × 2,324.34
  4. Step 4: Simplify right side
    2,504.52x = 8,689,359.14
  5. Step 5: Solve for x
    x = 8,689,359.14/2,504.52
  6. Step 6: Final answer
    x = 3,469.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.