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Finding the Fourth Proportional to 2,796.84, 3,858.20 and 1,912.68

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Solution

The fourth proportional to 2,796.84, 3,858.20 and 1,912.68 is: 2,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.84 : 3,858.20 = 1,912.68 : x
  2. Step 2: Convert to fraction form
    2,796.84/3,858.20 = 1,912.68/x
  3. Step 3: Cross multiply
    2,796.84x = 3,858.20 × 1,912.68
  4. Step 4: Simplify right side
    2,796.84x = 7,379,501.98
  5. Step 5: Solve for x
    x = 7,379,501.98/2,796.84
  6. Step 6: Final answer
    x = 2,638.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.