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Finding the Fourth Proportional to 2,794.92, 3,874.91 and 2,639.40

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Solution

The fourth proportional to 2,794.92, 3,874.91 and 2,639.40 is: 3,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.92 : 3,874.91 = 2,639.40 : x
  2. Step 2: Convert to fraction form
    2,794.92/3,874.91 = 2,639.40/x
  3. Step 3: Cross multiply
    2,794.92x = 3,874.91 × 2,639.40
  4. Step 4: Simplify right side
    2,794.92x = 10,227,437.45
  5. Step 5: Solve for x
    x = 10,227,437.45/2,794.92
  6. Step 6: Final answer
    x = 3,659.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.