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Finding the Fourth Proportional to 2,180.81, 3,272.84 and 1,027.37

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Solution

The fourth proportional to 2,180.81, 3,272.84 and 1,027.37 is: 1,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.81 : 3,272.84 = 1,027.37 : x
  2. Step 2: Convert to fraction form
    2,180.81/3,272.84 = 1,027.37/x
  3. Step 3: Cross multiply
    2,180.81x = 3,272.84 × 1,027.37
  4. Step 4: Simplify right side
    2,180.81x = 3,362,412.49
  5. Step 5: Solve for x
    x = 3,362,412.49/2,180.81
  6. Step 6: Final answer
    x = 1,541.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.