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Finding the Fourth Proportional to 2,773.37, 4,160.75 and 825.57

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Solution

The fourth proportional to 2,773.37, 4,160.75 and 825.57 is: 1,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.37 : 4,160.75 = 825.57 : x
  2. Step 2: Convert to fraction form
    2,773.37/4,160.75 = 825.57/x
  3. Step 3: Cross multiply
    2,773.37x = 4,160.75 × 825.57
  4. Step 4: Simplify right side
    2,773.37x = 3,434,986.25
  5. Step 5: Solve for x
    x = 3,434,986.25/2,773.37
  6. Step 6: Final answer
    x = 1,238.56

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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.