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Finding the Fourth Proportional to 1,991.94, 2,749.05 and 1,571.28

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Solution

The fourth proportional to 1,991.94, 2,749.05 and 1,571.28 is: 2,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.94 : 2,749.05 = 1,571.28 : x
  2. Step 2: Convert to fraction form
    1,991.94/2,749.05 = 1,571.28/x
  3. Step 3: Cross multiply
    1,991.94x = 2,749.05 × 1,571.28
  4. Step 4: Simplify right side
    1,991.94x = 4,319,527.28
  5. Step 5: Solve for x
    x = 4,319,527.28/1,991.94
  6. Step 6: Final answer
    x = 2,168.50

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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.