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Finding the Fourth Proportional to 2,606.72, 3,910.46 and 757.85

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Solution

The fourth proportional to 2,606.72, 3,910.46 and 757.85 is: 1,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.72 : 3,910.46 = 757.85 : x
  2. Step 2: Convert to fraction form
    2,606.72/3,910.46 = 757.85/x
  3. Step 3: Cross multiply
    2,606.72x = 3,910.46 × 757.85
  4. Step 4: Simplify right side
    2,606.72x = 2,963,518.77
  5. Step 5: Solve for x
    x = 2,963,518.77/2,606.72
  6. Step 6: Final answer
    x = 1,136.88

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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.