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Finding the Fourth Proportional to 2,784.92, 4,179.98 and 1,469.64

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Solution

The fourth proportional to 2,784.92, 4,179.98 and 1,469.64 is: 2,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 4,179.98 = 1,469.64 : x
  2. Step 2: Convert to fraction form
    2,784.92/4,179.98 = 1,469.64/x
  3. Step 3: Cross multiply
    2,784.92x = 4,179.98 × 1,469.64
  4. Step 4: Simplify right side
    2,784.92x = 6,143,065.81
  5. Step 5: Solve for x
    x = 6,143,065.81/2,784.92
  6. Step 6: Final answer
    x = 2,205.83

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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.