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Finding the Fourth Proportional to 2,777.75, 3,829.34 and 1,892.42

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Solution

The fourth proportional to 2,777.75, 3,829.34 and 1,892.42 is: 2,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.75 : 3,829.34 = 1,892.42 : x
  2. Step 2: Convert to fraction form
    2,777.75/3,829.34 = 1,892.42/x
  3. Step 3: Cross multiply
    2,777.75x = 3,829.34 × 1,892.42
  4. Step 4: Simplify right side
    2,777.75x = 7,246,710.14
  5. Step 5: Solve for x
    x = 7,246,710.14/2,777.75
  6. Step 6: Final answer
    x = 2,608.84

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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.