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Finding the Fourth Proportional to 3,196.66, 4,797.74 and 1,250.23

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Solution

The fourth proportional to 3,196.66, 4,797.74 and 1,250.23 is: 1,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.66 : 4,797.74 = 1,250.23 : x
  2. Step 2: Convert to fraction form
    3,196.66/4,797.74 = 1,250.23/x
  3. Step 3: Cross multiply
    3,196.66x = 4,797.74 × 1,250.23
  4. Step 4: Simplify right side
    3,196.66x = 5,998,260.23
  5. Step 5: Solve for x
    x = 5,998,260.23/3,196.66
  6. Step 6: Final answer
    x = 1,876.42

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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.