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Finding the Fourth Proportional to 2,825.88, 4,238.82 and 773.88

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Solution

The fourth proportional to 2,825.88, 4,238.82 and 773.88 is: 1,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.88 : 4,238.82 = 773.88 : x
  2. Step 2: Convert to fraction form
    2,825.88/4,238.82 = 773.88/x
  3. Step 3: Cross multiply
    2,825.88x = 4,238.82 × 773.88
  4. Step 4: Simplify right side
    2,825.88x = 3,280,338.02
  5. Step 5: Solve for x
    x = 3,280,338.02/2,825.88
  6. Step 6: Final answer
    x = 1,160.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.