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Finding the Fourth Proportional to 2,771.80, 3,824.10 and 1,777.61

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Solution

The fourth proportional to 2,771.80, 3,824.10 and 1,777.61 is: 2,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.80 : 3,824.10 = 1,777.61 : x
  2. Step 2: Convert to fraction form
    2,771.80/3,824.10 = 1,777.61/x
  3. Step 3: Cross multiply
    2,771.80x = 3,824.10 × 1,777.61
  4. Step 4: Simplify right side
    2,771.80x = 6,797,767.96
  5. Step 5: Solve for x
    x = 6,797,767.96/2,771.80
  6. Step 6: Final answer
    x = 2,452.48

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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.