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Finding the Fourth Proportional to 2,834.78, 4,253.28 and 1,274.36

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Solution

The fourth proportional to 2,834.78, 4,253.28 and 1,274.36 is: 1,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.78 : 4,253.28 = 1,274.36 : x
  2. Step 2: Convert to fraction form
    2,834.78/4,253.28 = 1,274.36/x
  3. Step 3: Cross multiply
    2,834.78x = 4,253.28 × 1,274.36
  4. Step 4: Simplify right side
    2,834.78x = 5,420,209.90
  5. Step 5: Solve for x
    x = 5,420,209.90/2,834.78
  6. Step 6: Final answer
    x = 1,912.04

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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.