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Finding the Fourth Proportional to 2,549.88, 3,828.06 and 2,167.56

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Solution

The fourth proportional to 2,549.88, 3,828.06 and 2,167.56 is: 3,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.88 : 3,828.06 = 2,167.56 : x
  2. Step 2: Convert to fraction form
    2,549.88/3,828.06 = 2,167.56/x
  3. Step 3: Cross multiply
    2,549.88x = 3,828.06 × 2,167.56
  4. Step 4: Simplify right side
    2,549.88x = 8,297,549.73
  5. Step 5: Solve for x
    x = 8,297,549.73/2,549.88
  6. Step 6: Final answer
    x = 3,254.09

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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.