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Finding the Fourth Proportional to 2,504.44, 3,757.14 and 944.38

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Solution

The fourth proportional to 2,504.44, 3,757.14 and 944.38 is: 1,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.44 : 3,757.14 = 944.38 : x
  2. Step 2: Convert to fraction form
    2,504.44/3,757.14 = 944.38/x
  3. Step 3: Cross multiply
    2,504.44x = 3,757.14 × 944.38
  4. Step 4: Simplify right side
    2,504.44x = 3,548,167.87
  5. Step 5: Solve for x
    x = 3,548,167.87/2,504.44
  6. Step 6: Final answer
    x = 1,416.75

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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.