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Finding the Fourth Proportional to 1,660.62, 2,493.71 and 1,037.37

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Solution

The fourth proportional to 1,660.62, 2,493.71 and 1,037.37 is: 1,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.62 : 2,493.71 = 1,037.37 : x
  2. Step 2: Convert to fraction form
    1,660.62/2,493.71 = 1,037.37/x
  3. Step 3: Cross multiply
    1,660.62x = 2,493.71 × 1,037.37
  4. Step 4: Simplify right side
    1,660.62x = 2,586,893.97
  5. Step 5: Solve for x
    x = 2,586,893.97/1,660.62
  6. Step 6: Final answer
    x = 1,557.78

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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.