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Finding the Fourth Proportional to 2,692.53, 4,037.07 and 1,286.37

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Solution

The fourth proportional to 2,692.53, 4,037.07 and 1,286.37 is: 1,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.53 : 4,037.07 = 1,286.37 : x
  2. Step 2: Convert to fraction form
    2,692.53/4,037.07 = 1,286.37/x
  3. Step 3: Cross multiply
    2,692.53x = 4,037.07 × 1,286.37
  4. Step 4: Simplify right side
    2,692.53x = 5,193,165.74
  5. Step 5: Solve for x
    x = 5,193,165.74/2,692.53
  6. Step 6: Final answer
    x = 1,928.73

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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.