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Finding the Fourth Proportional to 2,596.94, 3,896.96 and 1,037.68

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Solution

The fourth proportional to 2,596.94, 3,896.96 and 1,037.68 is: 1,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.94 : 3,896.96 = 1,037.68 : x
  2. Step 2: Convert to fraction form
    2,596.94/3,896.96 = 1,037.68/x
  3. Step 3: Cross multiply
    2,596.94x = 3,896.96 × 1,037.68
  4. Step 4: Simplify right side
    2,596.94x = 4,043,797.14
  5. Step 5: Solve for x
    x = 4,043,797.14/2,596.94
  6. Step 6: Final answer
    x = 1,557.14

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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.