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Finding the Fourth Proportional to 2,571.04, 3,855.57 and 927.28

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Solution

The fourth proportional to 2,571.04, 3,855.57 and 927.28 is: 1,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.04 : 3,855.57 = 927.28 : x
  2. Step 2: Convert to fraction form
    2,571.04/3,855.57 = 927.28/x
  3. Step 3: Cross multiply
    2,571.04x = 3,855.57 × 927.28
  4. Step 4: Simplify right side
    2,571.04x = 3,575,192.95
  5. Step 5: Solve for x
    x = 3,575,192.95/2,571.04
  6. Step 6: Final answer
    x = 1,390.56

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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.