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Finding the Fourth Proportional to 2,274.54, 3,138.82 and 1,279.74

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Solution

The fourth proportional to 2,274.54, 3,138.82 and 1,279.74 is: 1,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.54 : 3,138.82 = 1,279.74 : x
  2. Step 2: Convert to fraction form
    2,274.54/3,138.82 = 1,279.74/x
  3. Step 3: Cross multiply
    2,274.54x = 3,138.82 × 1,279.74
  4. Step 4: Simplify right side
    2,274.54x = 4,016,873.51
  5. Step 5: Solve for x
    x = 4,016,873.51/2,274.54
  6. Step 6: Final answer
    x = 1,766.02

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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.