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Finding the Fourth Proportional to 2,773.96, 3,825.62 and 2,144.52

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Solution

The fourth proportional to 2,773.96, 3,825.62 and 2,144.52 is: 2,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.96 : 3,825.62 = 2,144.52 : x
  2. Step 2: Convert to fraction form
    2,773.96/3,825.62 = 2,144.52/x
  3. Step 3: Cross multiply
    2,773.96x = 3,825.62 × 2,144.52
  4. Step 4: Simplify right side
    2,773.96x = 8,204,118.60
  5. Step 5: Solve for x
    x = 8,204,118.60/2,773.96
  6. Step 6: Final answer
    x = 2,957.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.