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Finding the Fourth Proportional to 2,793.06, 3,854.25 and 1,674.09

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Solution

The fourth proportional to 2,793.06, 3,854.25 and 1,674.09 is: 2,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.06 : 3,854.25 = 1,674.09 : x
  2. Step 2: Convert to fraction form
    2,793.06/3,854.25 = 1,674.09/x
  3. Step 3: Cross multiply
    2,793.06x = 3,854.25 × 1,674.09
  4. Step 4: Simplify right side
    2,793.06x = 6,452,361.38
  5. Step 5: Solve for x
    x = 6,452,361.38/2,793.06
  6. Step 6: Final answer
    x = 2,310.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.