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Finding the Fourth Proportional to 2,735.79, 3,772.62 and 2,236.83

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Solution

The fourth proportional to 2,735.79, 3,772.62 and 2,236.83 is: 3,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.79 : 3,772.62 = 2,236.83 : x
  2. Step 2: Convert to fraction form
    2,735.79/3,772.62 = 2,236.83/x
  3. Step 3: Cross multiply
    2,735.79x = 3,772.62 × 2,236.83
  4. Step 4: Simplify right side
    2,735.79x = 8,438,709.59
  5. Step 5: Solve for x
    x = 8,438,709.59/2,735.79
  6. Step 6: Final answer
    x = 3,084.56

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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.