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Finding the Fourth Proportional to 2,027.56, 2,798.13 and 1,188.25

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Solution

The fourth proportional to 2,027.56, 2,798.13 and 1,188.25 is: 1,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.56 : 2,798.13 = 1,188.25 : x
  2. Step 2: Convert to fraction form
    2,027.56/2,798.13 = 1,188.25/x
  3. Step 3: Cross multiply
    2,027.56x = 2,798.13 × 1,188.25
  4. Step 4: Simplify right side
    2,027.56x = 3,324,877.97
  5. Step 5: Solve for x
    x = 3,324,877.97/2,027.56
  6. Step 6: Final answer
    x = 1,639.84

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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.