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Finding the Fourth Proportional to 2,522.08, 3,781.09 and 878.59

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Solution

The fourth proportional to 2,522.08, 3,781.09 and 878.59 is: 1,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.08 : 3,781.09 = 878.59 : x
  2. Step 2: Convert to fraction form
    2,522.08/3,781.09 = 878.59/x
  3. Step 3: Cross multiply
    2,522.08x = 3,781.09 × 878.59
  4. Step 4: Simplify right side
    2,522.08x = 3,322,004.56
  5. Step 5: Solve for x
    x = 3,322,004.56/2,522.08
  6. Step 6: Final answer
    x = 1,317.17

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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.