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Finding the Fourth Proportional to 1,361.20, 2,040.44 and 539.17

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Solution

The fourth proportional to 1,361.20, 2,040.44 and 539.17 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.20 : 2,040.44 = 539.17 : x
  2. Step 2: Convert to fraction form
    1,361.20/2,040.44 = 539.17/x
  3. Step 3: Cross multiply
    1,361.20x = 2,040.44 × 539.17
  4. Step 4: Simplify right side
    1,361.20x = 1,100,144.03
  5. Step 5: Solve for x
    x = 1,100,144.03/1,361.20
  6. Step 6: Final answer
    x = 808.22

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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.