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Finding the Fourth Proportional to 2,571.97, 3,857.96 and 624.18

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Solution

The fourth proportional to 2,571.97, 3,857.96 and 624.18 is: 936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.97 : 3,857.96 = 624.18 : x
  2. Step 2: Convert to fraction form
    2,571.97/3,857.96 = 624.18/x
  3. Step 3: Cross multiply
    2,571.97x = 3,857.96 × 624.18
  4. Step 4: Simplify right side
    2,571.97x = 2,408,061.47
  5. Step 5: Solve for x
    x = 2,408,061.47/2,571.97
  6. Step 6: Final answer
    x = 936.27

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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.