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Finding the Fourth Proportional to 2,522.44, 3,481.02 and 1,578.16

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Solution

The fourth proportional to 2,522.44, 3,481.02 and 1,578.16 is: 2,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.44 : 3,481.02 = 1,578.16 : x
  2. Step 2: Convert to fraction form
    2,522.44/3,481.02 = 1,578.16/x
  3. Step 3: Cross multiply
    2,522.44x = 3,481.02 × 1,578.16
  4. Step 4: Simplify right side
    2,522.44x = 5,493,606.52
  5. Step 5: Solve for x
    x = 5,493,606.52/2,522.44
  6. Step 6: Final answer
    x = 2,177.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.