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Finding the Fourth Proportional to 2,796.30, 3,858.18 and 1,912.38

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Solution

The fourth proportional to 2,796.30, 3,858.18 and 1,912.38 is: 2,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.30 : 3,858.18 = 1,912.38 : x
  2. Step 2: Convert to fraction form
    2,796.30/3,858.18 = 1,912.38/x
  3. Step 3: Cross multiply
    2,796.30x = 3,858.18 × 1,912.38
  4. Step 4: Simplify right side
    2,796.30x = 7,378,306.27
  5. Step 5: Solve for x
    x = 7,378,306.27/2,796.30
  6. Step 6: Final answer
    x = 2,638.60

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Why These Related Problems?

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