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Finding the Fourth Proportional to 1,361.81, 2,039.46 and 1,165.70

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Solution

The fourth proportional to 1,361.81, 2,039.46 and 1,165.70 is: 1,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.81 : 2,039.46 = 1,165.70 : x
  2. Step 2: Convert to fraction form
    1,361.81/2,039.46 = 1,165.70/x
  3. Step 3: Cross multiply
    1,361.81x = 2,039.46 × 1,165.70
  4. Step 4: Simplify right side
    1,361.81x = 2,377,388.32
  5. Step 5: Solve for x
    x = 2,377,388.32/1,361.81
  6. Step 6: Final answer
    x = 1,745.76

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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.