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Finding the Fourth Proportional to 3,270.98, 4,906.91 and 1,627.36

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Solution

The fourth proportional to 3,270.98, 4,906.91 and 1,627.36 is: 2,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.98 : 4,906.91 = 1,627.36 : x
  2. Step 2: Convert to fraction form
    3,270.98/4,906.91 = 1,627.36/x
  3. Step 3: Cross multiply
    3,270.98x = 4,906.91 × 1,627.36
  4. Step 4: Simplify right side
    3,270.98x = 7,985,300.86
  5. Step 5: Solve for x
    x = 7,985,300.86/3,270.98
  6. Step 6: Final answer
    x = 2,441.25

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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.