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Finding the Fourth Proportional to 2,772.42, 3,825.90 and 1,709.75

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Solution

The fourth proportional to 2,772.42, 3,825.90 and 1,709.75 is: 2,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.42 : 3,825.90 = 1,709.75 : x
  2. Step 2: Convert to fraction form
    2,772.42/3,825.90 = 1,709.75/x
  3. Step 3: Cross multiply
    2,772.42x = 3,825.90 × 1,709.75
  4. Step 4: Simplify right side
    2,772.42x = 6,541,342.09
  5. Step 5: Solve for x
    x = 6,541,342.09/2,772.42
  6. Step 6: Final answer
    x = 2,359.44

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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.