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Finding the Fourth Proportional to 2,755.09, 3,801.95 and 1,576.09

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Solution

The fourth proportional to 2,755.09, 3,801.95 and 1,576.09 is: 2,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.09 : 3,801.95 = 1,576.09 : x
  2. Step 2: Convert to fraction form
    2,755.09/3,801.95 = 1,576.09/x
  3. Step 3: Cross multiply
    2,755.09x = 3,801.95 × 1,576.09
  4. Step 4: Simplify right side
    2,755.09x = 5,992,197.99
  5. Step 5: Solve for x
    x = 5,992,197.99/2,755.09
  6. Step 6: Final answer
    x = 2,174.96

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1.5x scale

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.