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Finding the Fourth Proportional to 2,796.98, 3,858.54 and 2,238.23

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Solution

The fourth proportional to 2,796.98, 3,858.54 and 2,238.23 is: 3,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.98 : 3,858.54 = 2,238.23 : x
  2. Step 2: Convert to fraction form
    2,796.98/3,858.54 = 2,238.23/x
  3. Step 3: Cross multiply
    2,796.98x = 3,858.54 × 2,238.23
  4. Step 4: Simplify right side
    2,796.98x = 8,636,301.24
  5. Step 5: Solve for x
    x = 8,636,301.24/2,796.98
  6. Step 6: Final answer
    x = 3,087.72

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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.