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Finding the Fourth Proportional to 2,493.70, 3,739.24 and 1,107.45

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Solution

The fourth proportional to 2,493.70, 3,739.24 and 1,107.45 is: 1,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.70 : 3,739.24 = 1,107.45 : x
  2. Step 2: Convert to fraction form
    2,493.70/3,739.24 = 1,107.45/x
  3. Step 3: Cross multiply
    2,493.70x = 3,739.24 × 1,107.45
  4. Step 4: Simplify right side
    2,493.70x = 4,141,022.72
  5. Step 5: Solve for x
    x = 4,141,022.72/2,493.70
  6. Step 6: Final answer
    x = 1,660.60

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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.