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Finding the Fourth Proportional to 2,247.54, 3,372.14 and 1,078.03

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Solution

The fourth proportional to 2,247.54, 3,372.14 and 1,078.03 is: 1,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.54 : 3,372.14 = 1,078.03 : x
  2. Step 2: Convert to fraction form
    2,247.54/3,372.14 = 1,078.03/x
  3. Step 3: Cross multiply
    2,247.54x = 3,372.14 × 1,078.03
  4. Step 4: Simplify right side
    2,247.54x = 3,635,268.08
  5. Step 5: Solve for x
    x = 3,635,268.08/2,247.54
  6. Step 6: Final answer
    x = 1,617.44

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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.