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Finding the Fourth Proportional to 3,271.06, 4,906.66 and 962.56

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Solution

The fourth proportional to 3,271.06, 4,906.66 and 962.56 is: 1,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.06 : 4,906.66 = 962.56 : x
  2. Step 2: Convert to fraction form
    3,271.06/4,906.66 = 962.56/x
  3. Step 3: Cross multiply
    3,271.06x = 4,906.66 × 962.56
  4. Step 4: Simplify right side
    3,271.06x = 4,722,954.65
  5. Step 5: Solve for x
    x = 4,722,954.65/3,271.06
  6. Step 6: Final answer
    x = 1,443.86

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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.