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Finding the Fourth Proportional to 2,757.44, 4,136.06 and 677.45

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Solution

The fourth proportional to 2,757.44, 4,136.06 and 677.45 is: 1,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.44 : 4,136.06 = 677.45 : x
  2. Step 2: Convert to fraction form
    2,757.44/4,136.06 = 677.45/x
  3. Step 3: Cross multiply
    2,757.44x = 4,136.06 × 677.45
  4. Step 4: Simplify right side
    2,757.44x = 2,801,985.88
  5. Step 5: Solve for x
    x = 2,801,985.88/2,757.44
  6. Step 6: Final answer
    x = 1,016.15

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