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Finding the Fourth Proportional to 2,764.15, 3,817.24 and 1,757.73

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Solution

The fourth proportional to 2,764.15, 3,817.24 and 1,757.73 is: 2,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.15 : 3,817.24 = 1,757.73 : x
  2. Step 2: Convert to fraction form
    2,764.15/3,817.24 = 1,757.73/x
  3. Step 3: Cross multiply
    2,764.15x = 3,817.24 × 1,757.73
  4. Step 4: Simplify right side
    2,764.15x = 6,709,675.60
  5. Step 5: Solve for x
    x = 6,709,675.60/2,764.15
  6. Step 6: Final answer
    x = 2,427.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.