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Finding the Fourth Proportional to 2,528.26, 3,792.80 and 796.75

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Solution

The fourth proportional to 2,528.26, 3,792.80 and 796.75 is: 1,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.26 : 3,792.80 = 796.75 : x
  2. Step 2: Convert to fraction form
    2,528.26/3,792.80 = 796.75/x
  3. Step 3: Cross multiply
    2,528.26x = 3,792.80 × 796.75
  4. Step 4: Simplify right side
    2,528.26x = 3,021,913.40
  5. Step 5: Solve for x
    x = 3,021,913.40/2,528.26
  6. Step 6: Final answer
    x = 1,195.25

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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.