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Finding the Fourth Proportional to 2,182.68, 3,274.92 and 1,208.70

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Solution

The fourth proportional to 2,182.68, 3,274.92 and 1,208.70 is: 1,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.68 : 3,274.92 = 1,208.70 : x
  2. Step 2: Convert to fraction form
    2,182.68/3,274.92 = 1,208.70/x
  3. Step 3: Cross multiply
    2,182.68x = 3,274.92 × 1,208.70
  4. Step 4: Simplify right side
    2,182.68x = 3,958,395.80
  5. Step 5: Solve for x
    x = 3,958,395.80/2,182.68
  6. Step 6: Final answer
    x = 1,813.55

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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.