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Finding the Fourth Proportional to 2,551.35, 3,827.06 and 796.28

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Solution

The fourth proportional to 2,551.35, 3,827.06 and 796.28 is: 1,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.35 : 3,827.06 = 796.28 : x
  2. Step 2: Convert to fraction form
    2,551.35/3,827.06 = 796.28/x
  3. Step 3: Cross multiply
    2,551.35x = 3,827.06 × 796.28
  4. Step 4: Simplify right side
    2,551.35x = 3,047,413.85
  5. Step 5: Solve for x
    x = 3,047,413.85/2,551.35
  6. Step 6: Final answer
    x = 1,194.43

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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.