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Finding the Fourth Proportional to 2,238.56, 3,359.18 and 1,777.94

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Solution

The fourth proportional to 2,238.56, 3,359.18 and 1,777.94 is: 2,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.56 : 3,359.18 = 1,777.94 : x
  2. Step 2: Convert to fraction form
    2,238.56/3,359.18 = 1,777.94/x
  3. Step 3: Cross multiply
    2,238.56x = 3,359.18 × 1,777.94
  4. Step 4: Simplify right side
    2,238.56x = 5,972,408.14
  5. Step 5: Solve for x
    x = 5,972,408.14/2,238.56
  6. Step 6: Final answer
    x = 2,667.97

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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.