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Finding the Fourth Proportional to 2,751.76, 4,122.78 and 2,450.44

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Solution

The fourth proportional to 2,751.76, 4,122.78 and 2,450.44 is: 3,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.76 : 4,122.78 = 2,450.44 : x
  2. Step 2: Convert to fraction form
    2,751.76/4,122.78 = 2,450.44/x
  3. Step 3: Cross multiply
    2,751.76x = 4,122.78 × 2,450.44
  4. Step 4: Simplify right side
    2,751.76x = 10,102,625.02
  5. Step 5: Solve for x
    x = 10,102,625.02/2,751.76
  6. Step 6: Final answer
    x = 3,671.33

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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.