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Finding the Fourth Proportional to 2,744.64, 4,114.44 and 1,282.56

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Solution

The fourth proportional to 2,744.64, 4,114.44 and 1,282.56 is: 1,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.64 : 4,114.44 = 1,282.56 : x
  2. Step 2: Convert to fraction form
    2,744.64/4,114.44 = 1,282.56/x
  3. Step 3: Cross multiply
    2,744.64x = 4,114.44 × 1,282.56
  4. Step 4: Simplify right side
    2,744.64x = 5,277,016.17
  5. Step 5: Solve for x
    x = 5,277,016.17/2,744.64
  6. Step 6: Final answer
    x = 1,922.66

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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.