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Finding the Fourth Proportional to 2,749.94, 4,122.17 and 1,286.47

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Solution

The fourth proportional to 2,749.94, 4,122.17 and 1,286.47 is: 1,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.94 : 4,122.17 = 1,286.47 : x
  2. Step 2: Convert to fraction form
    2,749.94/4,122.17 = 1,286.47/x
  3. Step 3: Cross multiply
    2,749.94x = 4,122.17 × 1,286.47
  4. Step 4: Simplify right side
    2,749.94x = 5,303,048.04
  5. Step 5: Solve for x
    x = 5,303,048.04/2,749.94
  6. Step 6: Final answer
    x = 1,928.42

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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.