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Finding the Fourth Proportional to 2,777.36, 3,831 and 1,992.56

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Solution

The fourth proportional to 2,777.36, 3,831 and 1,992.56 is: 2,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.36 : 3,831 = 1,992.56 : x
  2. Step 2: Convert to fraction form
    2,777.36/3,831 = 1,992.56/x
  3. Step 3: Cross multiply
    2,777.36x = 3,831 × 1,992.56
  4. Step 4: Simplify right side
    2,777.36x = 7,633,497.36
  5. Step 5: Solve for x
    x = 7,633,497.36/2,777.36
  6. Step 6: Final answer
    x = 2,748.47

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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.