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Finding the Fourth Proportional to 2,522.05, 3,782.77 and 878.46

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Solution

The fourth proportional to 2,522.05, 3,782.77 and 878.46 is: 1,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.05 : 3,782.77 = 878.46 : x
  2. Step 2: Convert to fraction form
    2,522.05/3,782.77 = 878.46/x
  3. Step 3: Cross multiply
    2,522.05x = 3,782.77 × 878.46
  4. Step 4: Simplify right side
    2,522.05x = 3,322,995.75
  5. Step 5: Solve for x
    x = 3,322,995.75/2,522.05
  6. Step 6: Final answer
    x = 1,317.58

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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.