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Finding the Fourth Proportional to 2,584.98, 3,858.72 and 2,392.25

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Solution

The fourth proportional to 2,584.98, 3,858.72 and 2,392.25 is: 3,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.98 : 3,858.72 = 2,392.25 : x
  2. Step 2: Convert to fraction form
    2,584.98/3,858.72 = 2,392.25/x
  3. Step 3: Cross multiply
    2,584.98x = 3,858.72 × 2,392.25
  4. Step 4: Simplify right side
    2,584.98x = 9,231,029.82
  5. Step 5: Solve for x
    x = 9,231,029.82/2,584.98
  6. Step 6: Final answer
    x = 3,571.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.