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Finding the Fourth Proportional to 2,504.52, 3,738.42 and 2,229.93

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Solution

The fourth proportional to 2,504.52, 3,738.42 and 2,229.93 is: 3,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.52 : 3,738.42 = 2,229.93 : x
  2. Step 2: Convert to fraction form
    2,504.52/3,738.42 = 2,229.93/x
  3. Step 3: Cross multiply
    2,504.52x = 3,738.42 × 2,229.93
  4. Step 4: Simplify right side
    2,504.52x = 8,336,414.91
  5. Step 5: Solve for x
    x = 8,336,414.91/2,504.52
  6. Step 6: Final answer
    x = 3,328.55

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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.