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Finding the Fourth Proportional to 2,550.67, 3,825.50 and 701.31

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Solution

The fourth proportional to 2,550.67, 3,825.50 and 701.31 is: 1,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.67 : 3,825.50 = 701.31 : x
  2. Step 2: Convert to fraction form
    2,550.67/3,825.50 = 701.31/x
  3. Step 3: Cross multiply
    2,550.67x = 3,825.50 × 701.31
  4. Step 4: Simplify right side
    2,550.67x = 2,682,861.41
  5. Step 5: Solve for x
    x = 2,682,861.41/2,550.67
  6. Step 6: Final answer
    x = 1,051.83

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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.