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Finding the Fourth Proportional to 2,243.63, 3,096.10 and 1,249.00

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Solution

The fourth proportional to 2,243.63, 3,096.10 and 1,249.00 is: 1,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.63 : 3,096.10 = 1,249.00 : x
  2. Step 2: Convert to fraction form
    2,243.63/3,096.10 = 1,249.00/x
  3. Step 3: Cross multiply
    2,243.63x = 3,096.10 × 1,249.00
  4. Step 4: Simplify right side
    2,243.63x = 3,867,022.72
  5. Step 5: Solve for x
    x = 3,867,022.72/2,243.63
  6. Step 6: Final answer
    x = 1,723.55

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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.