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Finding the Fourth Proportional to 2,274.57, 3,139.02 and 1,279.89

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Solution

The fourth proportional to 2,274.57, 3,139.02 and 1,279.89 is: 1,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.57 : 3,139.02 = 1,279.89 : x
  2. Step 2: Convert to fraction form
    2,274.57/3,139.02 = 1,279.89/x
  3. Step 3: Cross multiply
    2,274.57x = 3,139.02 × 1,279.89
  4. Step 4: Simplify right side
    2,274.57x = 4,017,600.31
  5. Step 5: Solve for x
    x = 4,017,600.31/2,274.57
  6. Step 6: Final answer
    x = 1,766.31

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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.