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Finding the Fourth Proportional to 2,182.40, 3,274.82 and 1,208.38

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Solution

The fourth proportional to 2,182.40, 3,274.82 and 1,208.38 is: 1,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.40 : 3,274.82 = 1,208.38 : x
  2. Step 2: Convert to fraction form
    2,182.40/3,274.82 = 1,208.38/x
  3. Step 3: Cross multiply
    2,182.40x = 3,274.82 × 1,208.38
  4. Step 4: Simplify right side
    2,182.40x = 3,957,226.99
  5. Step 5: Solve for x
    x = 3,957,226.99/2,182.40
  6. Step 6: Final answer
    x = 1,813.25

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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.