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Finding the Fourth Proportional to 2,194.74, 3,299.40 and 1,222.74

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Solution

The fourth proportional to 2,194.74, 3,299.40 and 1,222.74 is: 1,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.74 : 3,299.40 = 1,222.74 : x
  2. Step 2: Convert to fraction form
    2,194.74/3,299.40 = 1,222.74/x
  3. Step 3: Cross multiply
    2,194.74x = 3,299.40 × 1,222.74
  4. Step 4: Simplify right side
    2,194.74x = 4,034,308.36
  5. Step 5: Solve for x
    x = 4,034,308.36/2,194.74
  6. Step 6: Final answer
    x = 1,838.17

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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.