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Finding the Fourth Proportional to 2,631.93, 3,948.09 and 757.75

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Solution

The fourth proportional to 2,631.93, 3,948.09 and 757.75 is: 1,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.93 : 3,948.09 = 757.75 : x
  2. Step 2: Convert to fraction form
    2,631.93/3,948.09 = 757.75/x
  3. Step 3: Cross multiply
    2,631.93x = 3,948.09 × 757.75
  4. Step 4: Simplify right side
    2,631.93x = 2,991,665.20
  5. Step 5: Solve for x
    x = 2,991,665.20/2,631.93
  6. Step 6: Final answer
    x = 1,136.68

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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.