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Finding the Fourth Proportional to 3,296.90, 4,940.90 and 1,214.95

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Solution

The fourth proportional to 3,296.90, 4,940.90 and 1,214.95 is: 1,820.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.90 : 4,940.90 = 1,214.95 : x
  2. Step 2: Convert to fraction form
    3,296.90/4,940.90 = 1,214.95/x
  3. Step 3: Cross multiply
    3,296.90x = 4,940.90 × 1,214.95
  4. Step 4: Simplify right side
    3,296.90x = 6,002,941.85
  5. Step 5: Solve for x
    x = 6,002,941.85/3,296.90
  6. Step 6: Final answer
    x = 1,820.78

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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.