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Finding the Fourth Proportional to 2,749.75, 3,794.90 and 1,571.20

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Solution

The fourth proportional to 2,749.75, 3,794.90 and 1,571.20 is: 2,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.75 : 3,794.90 = 1,571.20 : x
  2. Step 2: Convert to fraction form
    2,749.75/3,794.90 = 1,571.20/x
  3. Step 3: Cross multiply
    2,749.75x = 3,794.90 × 1,571.20
  4. Step 4: Simplify right side
    2,749.75x = 5,962,546.88
  5. Step 5: Solve for x
    x = 5,962,546.88/2,749.75
  6. Step 6: Final answer
    x = 2,168.40

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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.