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Finding the Fourth Proportional to 2,734.29, 4,101.46 and 1,274.49

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Solution

The fourth proportional to 2,734.29, 4,101.46 and 1,274.49 is: 1,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.29 : 4,101.46 = 1,274.49 : x
  2. Step 2: Convert to fraction form
    2,734.29/4,101.46 = 1,274.49/x
  3. Step 3: Cross multiply
    2,734.29x = 4,101.46 × 1,274.49
  4. Step 4: Simplify right side
    2,734.29x = 5,227,266.57
  5. Step 5: Solve for x
    x = 5,227,266.57/2,734.29
  6. Step 6: Final answer
    x = 1,911.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.