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Finding the Fourth Proportional to 2,571.56, 3,853.60 and 1,400.56

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Solution

The fourth proportional to 2,571.56, 3,853.60 and 1,400.56 is: 2,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.56 : 3,853.60 = 1,400.56 : x
  2. Step 2: Convert to fraction form
    2,571.56/3,853.60 = 1,400.56/x
  3. Step 3: Cross multiply
    2,571.56x = 3,853.60 × 1,400.56
  4. Step 4: Simplify right side
    2,571.56x = 5,397,198.02
  5. Step 5: Solve for x
    x = 5,397,198.02/2,571.56
  6. Step 6: Final answer
    x = 2,098.80

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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.