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Finding the Fourth Proportional to 2,772.93, 3,825.54 and 1,593.75

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Solution

The fourth proportional to 2,772.93, 3,825.54 and 1,593.75 is: 2,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.93 : 3,825.54 = 1,593.75 : x
  2. Step 2: Convert to fraction form
    2,772.93/3,825.54 = 1,593.75/x
  3. Step 3: Cross multiply
    2,772.93x = 3,825.54 × 1,593.75
  4. Step 4: Simplify right side
    2,772.93x = 6,096,954.38
  5. Step 5: Solve for x
    x = 6,096,954.38/2,772.93
  6. Step 6: Final answer
    x = 2,198.74

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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.