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Finding the Fourth Proportional to 2,027.56, 2,796.64 and 1,242

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Solution

The fourth proportional to 2,027.56, 2,796.64 and 1,242 is: 1,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.56 : 2,796.64 = 1,242 : x
  2. Step 2: Convert to fraction form
    2,027.56/2,796.64 = 1,242/x
  3. Step 3: Cross multiply
    2,027.56x = 2,796.64 × 1,242
  4. Step 4: Simplify right side
    2,027.56x = 3,473,426.88
  5. Step 5: Solve for x
    x = 3,473,426.88/2,027.56
  6. Step 6: Final answer
    x = 1,713.11

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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.