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Finding the Fourth Proportional to 2,311.99, 3,469.43 and 907.61

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Solution

The fourth proportional to 2,311.99, 3,469.43 and 907.61 is: 1,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.99 : 3,469.43 = 907.61 : x
  2. Step 2: Convert to fraction form
    2,311.99/3,469.43 = 907.61/x
  3. Step 3: Cross multiply
    2,311.99x = 3,469.43 × 907.61
  4. Step 4: Simplify right side
    2,311.99x = 3,148,874.28
  5. Step 5: Solve for x
    x = 3,148,874.28/2,311.99
  6. Step 6: Final answer
    x = 1,361.97

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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.