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Finding the Fourth Proportional to 3,194.85, 4,411.68 and 2,149.95

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Solution

The fourth proportional to 3,194.85, 4,411.68 and 2,149.95 is: 2,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.85 : 4,411.68 = 2,149.95 : x
  2. Step 2: Convert to fraction form
    3,194.85/4,411.68 = 2,149.95/x
  3. Step 3: Cross multiply
    3,194.85x = 4,411.68 × 2,149.95
  4. Step 4: Simplify right side
    3,194.85x = 9,484,891.42
  5. Step 5: Solve for x
    x = 9,484,891.42/3,194.85
  6. Step 6: Final answer
    x = 2,968.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.