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Finding the Fourth Proportional to 2,754.90, 3,801.78 and 1,576

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Solution

The fourth proportional to 2,754.90, 3,801.78 and 1,576 is: 2,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.90 : 3,801.78 = 1,576 : x
  2. Step 2: Convert to fraction form
    2,754.90/3,801.78 = 1,576/x
  3. Step 3: Cross multiply
    2,754.90x = 3,801.78 × 1,576
  4. Step 4: Simplify right side
    2,754.90x = 5,991,605.28
  5. Step 5: Solve for x
    x = 5,991,605.28/2,754.90
  6. Step 6: Final answer
    x = 2,174.89

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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.