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Finding the Fourth Proportional to 2,571.26, 3,544.88 and 2,009.52

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Solution

The fourth proportional to 2,571.26, 3,544.88 and 2,009.52 is: 2,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.26 : 3,544.88 = 2,009.52 : x
  2. Step 2: Convert to fraction form
    2,571.26/3,544.88 = 2,009.52/x
  3. Step 3: Cross multiply
    2,571.26x = 3,544.88 × 2,009.52
  4. Step 4: Simplify right side
    2,571.26x = 7,123,507.26
  5. Step 5: Solve for x
    x = 7,123,507.26/2,571.26
  6. Step 6: Final answer
    x = 2,770.43

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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.