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Finding the Fourth Proportional to 3,270.60, 4,906.26 and 962.10

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Solution

The fourth proportional to 3,270.60, 4,906.26 and 962.10 is: 1,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.60 : 4,906.26 = 962.10 : x
  2. Step 2: Convert to fraction form
    3,270.60/4,906.26 = 962.10/x
  3. Step 3: Cross multiply
    3,270.60x = 4,906.26 × 962.10
  4. Step 4: Simplify right side
    3,270.60x = 4,720,312.75
  5. Step 5: Solve for x
    x = 4,720,312.75/3,270.60
  6. Step 6: Final answer
    x = 1,443.26

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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.