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Finding the Fourth Proportional to 2,694.36, 4,035.04 and 1,826.04

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Solution

The fourth proportional to 2,694.36, 4,035.04 and 1,826.04 is: 2,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.36 : 4,035.04 = 1,826.04 : x
  2. Step 2: Convert to fraction form
    2,694.36/4,035.04 = 1,826.04/x
  3. Step 3: Cross multiply
    2,694.36x = 4,035.04 × 1,826.04
  4. Step 4: Simplify right side
    2,694.36x = 7,368,144.44
  5. Step 5: Solve for x
    x = 7,368,144.44/2,694.36
  6. Step 6: Final answer
    x = 2,734.65

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Why These Related Problems?

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