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Finding the Fourth Proportional to 4,694.38, 7,042 and 1,231.62

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Solution

The fourth proportional to 4,694.38, 7,042 and 1,231.62 is: 1,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.38 : 7,042 = 1,231.62 : x
  2. Step 2: Convert to fraction form
    4,694.38/7,042 = 1,231.62/x
  3. Step 3: Cross multiply
    4,694.38x = 7,042 × 1,231.62
  4. Step 4: Simplify right side
    4,694.38x = 8,673,068.04
  5. Step 5: Solve for x
    x = 8,673,068.04/4,694.38
  6. Step 6: Final answer
    x = 1,847.54

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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.