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Finding the Fourth Proportional to 2,274.54, 3,137.97 and 1,279.59

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Solution

The fourth proportional to 2,274.54, 3,137.97 and 1,279.59 is: 1,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.54 : 3,137.97 = 1,279.59 : x
  2. Step 2: Convert to fraction form
    2,274.54/3,137.97 = 1,279.59/x
  3. Step 3: Cross multiply
    2,274.54x = 3,137.97 × 1,279.59
  4. Step 4: Simplify right side
    2,274.54x = 4,015,315.03
  5. Step 5: Solve for x
    x = 4,015,315.03/2,274.54
  6. Step 6: Final answer
    x = 1,765.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.