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Finding the Fourth Proportional to 1,361.94, 2,037.57 and 1,187.40

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Solution

The fourth proportional to 1,361.94, 2,037.57 and 1,187.40 is: 1,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.94 : 2,037.57 = 1,187.40 : x
  2. Step 2: Convert to fraction form
    1,361.94/2,037.57 = 1,187.40/x
  3. Step 3: Cross multiply
    1,361.94x = 2,037.57 × 1,187.40
  4. Step 4: Simplify right side
    1,361.94x = 2,419,410.62
  5. Step 5: Solve for x
    x = 2,419,410.62/1,361.94
  6. Step 6: Final answer
    x = 1,776.44

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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.