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Finding the Fourth Proportional to 2,734.70, 4,103.21 and 1,348.05

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Solution

The fourth proportional to 2,734.70, 4,103.21 and 1,348.05 is: 2,022.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.70 : 4,103.21 = 1,348.05 : x
  2. Step 2: Convert to fraction form
    2,734.70/4,103.21 = 1,348.05/x
  3. Step 3: Cross multiply
    2,734.70x = 4,103.21 × 1,348.05
  4. Step 4: Simplify right side
    2,734.70x = 5,531,332.24
  5. Step 5: Solve for x
    x = 5,531,332.24/2,734.70
  6. Step 6: Final answer
    x = 2,022.65

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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.