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Finding the Fourth Proportional to 2,772.09, 3,825.02 and 1,777.17

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Solution

The fourth proportional to 2,772.09, 3,825.02 and 1,777.17 is: 2,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.09 : 3,825.02 = 1,777.17 : x
  2. Step 2: Convert to fraction form
    2,772.09/3,825.02 = 1,777.17/x
  3. Step 3: Cross multiply
    2,772.09x = 3,825.02 × 1,777.17
  4. Step 4: Simplify right side
    2,772.09x = 6,797,729.58
  5. Step 5: Solve for x
    x = 6,797,729.58/2,772.09
  6. Step 6: Final answer
    x = 2,452.20

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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.