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Finding the Fourth Proportional to 2,274.91, 3,139.40 and 1,280.18

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Solution

The fourth proportional to 2,274.91, 3,139.40 and 1,280.18 is: 1,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.91 : 3,139.40 = 1,280.18 : x
  2. Step 2: Convert to fraction form
    2,274.91/3,139.40 = 1,280.18/x
  3. Step 3: Cross multiply
    2,274.91x = 3,139.40 × 1,280.18
  4. Step 4: Simplify right side
    2,274.91x = 4,018,997.09
  5. Step 5: Solve for x
    x = 4,018,997.09/2,274.91
  6. Step 6: Final answer
    x = 1,766.66

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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.