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Finding the Fourth Proportional to 2,771.97, 3,825.17 and 1,576.97

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Solution

The fourth proportional to 2,771.97, 3,825.17 and 1,576.97 is: 2,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.97 : 3,825.17 = 1,576.97 : x
  2. Step 2: Convert to fraction form
    2,771.97/3,825.17 = 1,576.97/x
  3. Step 3: Cross multiply
    2,771.97x = 3,825.17 × 1,576.97
  4. Step 4: Simplify right side
    2,771.97x = 6,032,180.45
  5. Step 5: Solve for x
    x = 6,032,180.45/2,771.97
  6. Step 6: Final answer
    x = 2,176.13

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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.