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Finding the Fourth Proportional to 2,027.41, 2,796.50 and 1,397.97

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Solution

The fourth proportional to 2,027.41, 2,796.50 and 1,397.97 is: 1,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.41 : 2,796.50 = 1,397.97 : x
  2. Step 2: Convert to fraction form
    2,027.41/2,796.50 = 1,397.97/x
  3. Step 3: Cross multiply
    2,027.41x = 2,796.50 × 1,397.97
  4. Step 4: Simplify right side
    2,027.41x = 3,909,409.12
  5. Step 5: Solve for x
    x = 3,909,409.12/2,027.41
  6. Step 6: Final answer
    x = 1,928.28

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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.