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Finding the Fourth Proportional to 2,628.37, 3,942.91 and 962.27

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Solution

The fourth proportional to 2,628.37, 3,942.91 and 962.27 is: 1,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.37 : 3,942.91 = 962.27 : x
  2. Step 2: Convert to fraction form
    2,628.37/3,942.91 = 962.27/x
  3. Step 3: Cross multiply
    2,628.37x = 3,942.91 × 962.27
  4. Step 4: Simplify right side
    2,628.37x = 3,794,151.37
  5. Step 5: Solve for x
    x = 3,794,151.37/2,628.37
  6. Step 6: Final answer
    x = 1,443.54

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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.