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Finding the Fourth Proportional to 2,257.06, 3,381.71 and 2,028.80

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Solution

The fourth proportional to 2,257.06, 3,381.71 and 2,028.80 is: 3,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.06 : 3,381.71 = 2,028.80 : x
  2. Step 2: Convert to fraction form
    2,257.06/3,381.71 = 2,028.80/x
  3. Step 3: Cross multiply
    2,257.06x = 3,381.71 × 2,028.80
  4. Step 4: Simplify right side
    2,257.06x = 6,860,796.34
  5. Step 5: Solve for x
    x = 6,860,796.34/2,257.06
  6. Step 6: Final answer
    x = 3,039.71

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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.