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Finding the Fourth Proportional to 2,825.94, 4,238.91 and 773.94

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Solution

The fourth proportional to 2,825.94, 4,238.91 and 773.94 is: 1,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.94 : 4,238.91 = 773.94 : x
  2. Step 2: Convert to fraction form
    2,825.94/4,238.91 = 773.94/x
  3. Step 3: Cross multiply
    2,825.94x = 4,238.91 × 773.94
  4. Step 4: Simplify right side
    2,825.94x = 3,280,662.01
  5. Step 5: Solve for x
    x = 3,280,662.01/2,825.94
  6. Step 6: Final answer
    x = 1,160.91

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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.