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Finding the Fourth Proportional to 2,550.46, 3,825.74 and 2,261.52

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Solution

The fourth proportional to 2,550.46, 3,825.74 and 2,261.52 is: 3,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.46 : 3,825.74 = 2,261.52 : x
  2. Step 2: Convert to fraction form
    2,550.46/3,825.74 = 2,261.52/x
  3. Step 3: Cross multiply
    2,550.46x = 3,825.74 × 2,261.52
  4. Step 4: Simplify right side
    2,550.46x = 8,651,987.52
  5. Step 5: Solve for x
    x = 8,651,987.52/2,550.46
  6. Step 6: Final answer
    x = 3,392.32

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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.