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Finding the Fourth Proportional to 2,824.44, 4,232.34 and 2,578.32

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Solution

The fourth proportional to 2,824.44, 4,232.34 and 2,578.32 is: 3,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.44 : 4,232.34 = 2,578.32 : x
  2. Step 2: Convert to fraction form
    2,824.44/4,232.34 = 2,578.32/x
  3. Step 3: Cross multiply
    2,824.44x = 4,232.34 × 2,578.32
  4. Step 4: Simplify right side
    2,824.44x = 10,912,326.87
  5. Step 5: Solve for x
    x = 10,912,326.87/2,824.44
  6. Step 6: Final answer
    x = 3,863.54

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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.