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Finding the Fourth Proportional to 2,571.98, 3,857.04 and 928.09

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Solution

The fourth proportional to 2,571.98, 3,857.04 and 928.09 is: 1,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.98 : 3,857.04 = 928.09 : x
  2. Step 2: Convert to fraction form
    2,571.98/3,857.04 = 928.09/x
  3. Step 3: Cross multiply
    2,571.98x = 3,857.04 × 928.09
  4. Step 4: Simplify right side
    2,571.98x = 3,579,680.25
  5. Step 5: Solve for x
    x = 3,579,680.25/2,571.98
  6. Step 6: Final answer
    x = 1,391.80

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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.