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Finding the Fourth Proportional to 2,244.64, 3,097.68 and 1,249.88

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Solution

The fourth proportional to 2,244.64, 3,097.68 and 1,249.88 is: 1,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.64 : 3,097.68 = 1,249.88 : x
  2. Step 2: Convert to fraction form
    2,244.64/3,097.68 = 1,249.88/x
  3. Step 3: Cross multiply
    2,244.64x = 3,097.68 × 1,249.88
  4. Step 4: Simplify right side
    2,244.64x = 3,871,728.28
  5. Step 5: Solve for x
    x = 3,871,728.28/2,244.64
  6. Step 6: Final answer
    x = 1,724.88

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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.