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Finding the Fourth Proportional to 2,274.97, 3,139.76 and 1,280.44

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Solution

The fourth proportional to 2,274.97, 3,139.76 and 1,280.44 is: 1,767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.97 : 3,139.76 = 1,280.44 : x
  2. Step 2: Convert to fraction form
    2,274.97/3,139.76 = 1,280.44/x
  3. Step 3: Cross multiply
    2,274.97x = 3,139.76 × 1,280.44
  4. Step 4: Simplify right side
    2,274.97x = 4,020,287.31
  5. Step 5: Solve for x
    x = 4,020,287.31/2,274.97
  6. Step 6: Final answer
    x = 1,767.18

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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.