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Finding the Fourth Proportional to 3,270.90, 4,906.35 and 805.77

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Solution

The fourth proportional to 3,270.90, 4,906.35 and 805.77 is: 1,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.90 : 4,906.35 = 805.77 : x
  2. Step 2: Convert to fraction form
    3,270.90/4,906.35 = 805.77/x
  3. Step 3: Cross multiply
    3,270.90x = 4,906.35 × 805.77
  4. Step 4: Simplify right side
    3,270.90x = 3,953,361.08
  5. Step 5: Solve for x
    x = 3,953,361.08/3,270.90
  6. Step 6: Final answer
    x = 1,208.65

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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.