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Finding the Fourth Proportional to 2,550.45, 3,825.71 and 701.55

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Solution

The fourth proportional to 2,550.45, 3,825.71 and 701.55 is: 1,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.45 : 3,825.71 = 701.55 : x
  2. Step 2: Convert to fraction form
    2,550.45/3,825.71 = 701.55/x
  3. Step 3: Cross multiply
    2,550.45x = 3,825.71 × 701.55
  4. Step 4: Simplify right side
    2,550.45x = 2,683,926.85
  5. Step 5: Solve for x
    x = 2,683,926.85/2,550.45
  6. Step 6: Final answer
    x = 1,052.33

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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.