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Finding the Fourth Proportional to 3,270.96, 4,906.40 and 962.46

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Solution

The fourth proportional to 3,270.96, 4,906.40 and 962.46 is: 1,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.96 : 4,906.40 = 962.46 : x
  2. Step 2: Convert to fraction form
    3,270.96/4,906.40 = 962.46/x
  3. Step 3: Cross multiply
    3,270.96x = 4,906.40 × 962.46
  4. Step 4: Simplify right side
    3,270.96x = 4,722,208.93
  5. Step 5: Solve for x
    x = 4,722,208.93/3,270.96
  6. Step 6: Final answer
    x = 1,443.68

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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.