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Finding the Fourth Proportional to 2,027.81, 2,796.99 and 1,242.25

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Solution

The fourth proportional to 2,027.81, 2,796.99 and 1,242.25 is: 1,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.81 : 2,796.99 = 1,242.25 : x
  2. Step 2: Convert to fraction form
    2,027.81/2,796.99 = 1,242.25/x
  3. Step 3: Cross multiply
    2,027.81x = 2,796.99 × 1,242.25
  4. Step 4: Simplify right side
    2,027.81x = 3,474,554.62
  5. Step 5: Solve for x
    x = 3,474,554.62/2,027.81
  6. Step 6: Final answer
    x = 1,713.45

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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.