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Finding the Fourth Proportional to 2,772.76, 3,825.97 and 1,593.60

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Solution

The fourth proportional to 2,772.76, 3,825.97 and 1,593.60 is: 2,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.76 : 3,825.97 = 1,593.60 : x
  2. Step 2: Convert to fraction form
    2,772.76/3,825.97 = 1,593.60/x
  3. Step 3: Cross multiply
    2,772.76x = 3,825.97 × 1,593.60
  4. Step 4: Simplify right side
    2,772.76x = 6,097,038.69
  5. Step 5: Solve for x
    x = 6,097,038.69/2,772.76
  6. Step 6: Final answer
    x = 2,198.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.