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Finding the Fourth Proportional to 2,949.96, 4,422.27 and 1,194.69

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Solution

The fourth proportional to 2,949.96, 4,422.27 and 1,194.69 is: 1,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.96 : 4,422.27 = 1,194.69 : x
  2. Step 2: Convert to fraction form
    2,949.96/4,422.27 = 1,194.69/x
  3. Step 3: Cross multiply
    2,949.96x = 4,422.27 × 1,194.69
  4. Step 4: Simplify right side
    2,949.96x = 5,283,241.75
  5. Step 5: Solve for x
    x = 5,283,241.75/2,949.96
  6. Step 6: Final answer
    x = 1,790.95

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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.