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Finding the Fourth Proportional to 2,761.76, 4,137.78 and 2,460.44

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Solution

The fourth proportional to 2,761.76, 4,137.78 and 2,460.44 is: 3,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.76 : 4,137.78 = 2,460.44 : x
  2. Step 2: Convert to fraction form
    2,761.76/4,137.78 = 2,460.44/x
  3. Step 3: Cross multiply
    2,761.76x = 4,137.78 × 2,460.44
  4. Step 4: Simplify right side
    2,761.76x = 10,180,759.42
  5. Step 5: Solve for x
    x = 10,180,759.42/2,761.76
  6. Step 6: Final answer
    x = 3,686.33

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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.