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Finding the Fourth Proportional to 2,685.36, 4,027.50 and 737.31

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Solution

The fourth proportional to 2,685.36, 4,027.50 and 737.31 is: 1,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.36 : 4,027.50 = 737.31 : x
  2. Step 2: Convert to fraction form
    2,685.36/4,027.50 = 737.31/x
  3. Step 3: Cross multiply
    2,685.36x = 4,027.50 × 737.31
  4. Step 4: Simplify right side
    2,685.36x = 2,969,516.03
  5. Step 5: Solve for x
    x = 2,969,516.03/2,685.36
  6. Step 6: Final answer
    x = 1,105.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.