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Finding the Fourth Proportional to 2,093.28, 3,121.65 and 1,834.49

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Solution

The fourth proportional to 2,093.28, 3,121.65 and 1,834.49 is: 2,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.28 : 3,121.65 = 1,834.49 : x
  2. Step 2: Convert to fraction form
    2,093.28/3,121.65 = 1,834.49/x
  3. Step 3: Cross multiply
    2,093.28x = 3,121.65 × 1,834.49
  4. Step 4: Simplify right side
    2,093.28x = 5,726,620.10
  5. Step 5: Solve for x
    x = 5,726,620.10/2,093.28
  6. Step 6: Final answer
    x = 2,735.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.