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Finding the Fourth Proportional to 2,755, 3,801.99 and 1,576

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Solution

The fourth proportional to 2,755, 3,801.99 and 1,576 is: 2,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755 : 3,801.99 = 1,576 : x
  2. Step 2: Convert to fraction form
    2,755/3,801.99 = 1,576/x
  3. Step 3: Cross multiply
    2,755x = 3,801.99 × 1,576
  4. Step 4: Simplify right side
    2,755x = 5,991,936.24
  5. Step 5: Solve for x
    x = 5,991,936.24/2,755
  6. Step 6: Final answer
    x = 2,174.93

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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.