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Finding the Fourth Proportional to 2,571.88, 3,857.82 and 624.08

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Solution

The fourth proportional to 2,571.88, 3,857.82 and 624.08 is: 936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.88 : 3,857.82 = 624.08 : x
  2. Step 2: Convert to fraction form
    2,571.88/3,857.82 = 624.08/x
  3. Step 3: Cross multiply
    2,571.88x = 3,857.82 × 624.08
  4. Step 4: Simplify right side
    2,571.88x = 2,407,588.31
  5. Step 5: Solve for x
    x = 2,407,588.31/2,571.88
  6. Step 6: Final answer
    x = 936.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.