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Finding the Fourth Proportional to 2,942.57, 4,059.75 and 1,682.73

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Solution

The fourth proportional to 2,942.57, 4,059.75 and 1,682.73 is: 2,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.57 : 4,059.75 = 1,682.73 : x
  2. Step 2: Convert to fraction form
    2,942.57/4,059.75 = 1,682.73/x
  3. Step 3: Cross multiply
    2,942.57x = 4,059.75 × 1,682.73
  4. Step 4: Simplify right side
    2,942.57x = 6,831,441.58
  5. Step 5: Solve for x
    x = 6,831,441.58/2,942.57
  6. Step 6: Final answer
    x = 2,321.59

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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.