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Finding the Fourth Proportional to 2,528.14, 3,792.18 and 796.75

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Solution

The fourth proportional to 2,528.14, 3,792.18 and 796.75 is: 1,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.14 : 3,792.18 = 796.75 : x
  2. Step 2: Convert to fraction form
    2,528.14/3,792.18 = 796.75/x
  3. Step 3: Cross multiply
    2,528.14x = 3,792.18 × 796.75
  4. Step 4: Simplify right side
    2,528.14x = 3,021,419.42
  5. Step 5: Solve for x
    x = 3,021,419.42/2,528.14
  6. Step 6: Final answer
    x = 1,195.12

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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.