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Finding the Fourth Proportional to 2,749.26, 3,794.68 and 1,571.03

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Solution

The fourth proportional to 2,749.26, 3,794.68 and 1,571.03 is: 2,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.26 : 3,794.68 = 1,571.03 : x
  2. Step 2: Convert to fraction form
    2,749.26/3,794.68 = 1,571.03/x
  3. Step 3: Cross multiply
    2,749.26x = 3,794.68 × 1,571.03
  4. Step 4: Simplify right side
    2,749.26x = 5,961,533.22
  5. Step 5: Solve for x
    x = 5,961,533.22/2,749.26
  6. Step 6: Final answer
    x = 2,168.41

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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.