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Finding the Fourth Proportional to 2,550.69, 3,825.54 and 701.34

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Solution

The fourth proportional to 2,550.69, 3,825.54 and 701.34 is: 1,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.69 : 3,825.54 = 701.34 : x
  2. Step 2: Convert to fraction form
    2,550.69/3,825.54 = 701.34/x
  3. Step 3: Cross multiply
    2,550.69x = 3,825.54 × 701.34
  4. Step 4: Simplify right side
    2,550.69x = 2,682,989.88
  5. Step 5: Solve for x
    x = 2,682,989.88/2,550.69
  6. Step 6: Final answer
    x = 1,051.87

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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.