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Finding the Fourth Proportional to 2,553.78, 3,824.16 and 2,339.94

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Solution

The fourth proportional to 2,553.78, 3,824.16 and 2,339.94 is: 3,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.78 : 3,824.16 = 2,339.94 : x
  2. Step 2: Convert to fraction form
    2,553.78/3,824.16 = 2,339.94/x
  3. Step 3: Cross multiply
    2,553.78x = 3,824.16 × 2,339.94
  4. Step 4: Simplify right side
    2,553.78x = 8,948,304.95
  5. Step 5: Solve for x
    x = 8,948,304.95/2,553.78
  6. Step 6: Final answer
    x = 3,503.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.