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Finding the Fourth Proportional to 2,481.44, 3,715.47 and 1,245.78

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Solution

The fourth proportional to 2,481.44, 3,715.47 and 1,245.78 is: 1,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.44 : 3,715.47 = 1,245.78 : x
  2. Step 2: Convert to fraction form
    2,481.44/3,715.47 = 1,245.78/x
  3. Step 3: Cross multiply
    2,481.44x = 3,715.47 × 1,245.78
  4. Step 4: Simplify right side
    2,481.44x = 4,628,658.22
  5. Step 5: Solve for x
    x = 4,628,658.22/2,481.44
  6. Step 6: Final answer
    x = 1,865.32

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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.