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Finding the Fourth Proportional to 2,630.37, 3,945.91 and 964.27

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Solution

The fourth proportional to 2,630.37, 3,945.91 and 964.27 is: 1,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.37 : 3,945.91 = 964.27 : x
  2. Step 2: Convert to fraction form
    2,630.37/3,945.91 = 964.27/x
  3. Step 3: Cross multiply
    2,630.37x = 3,945.91 × 964.27
  4. Step 4: Simplify right side
    2,630.37x = 3,804,922.64
  5. Step 5: Solve for x
    x = 3,804,922.64/2,630.37
  6. Step 6: Final answer
    x = 1,446.54

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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.