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Finding the Fourth Proportional to 2,722.44, 3,755.90 and 1,777.94

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Solution

The fourth proportional to 2,722.44, 3,755.90 and 1,777.94 is: 2,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.44 : 3,755.90 = 1,777.94 : x
  2. Step 2: Convert to fraction form
    2,722.44/3,755.90 = 1,777.94/x
  3. Step 3: Cross multiply
    2,722.44x = 3,755.90 × 1,777.94
  4. Step 4: Simplify right side
    2,722.44x = 6,677,764.85
  5. Step 5: Solve for x
    x = 6,677,764.85/2,722.44
  6. Step 6: Final answer
    x = 2,452.86

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