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Finding the Fourth Proportional to 2,596.97, 3,893.00 and 1,037.95

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Solution

The fourth proportional to 2,596.97, 3,893.00 and 1,037.95 is: 1,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.97 : 3,893.00 = 1,037.95 : x
  2. Step 2: Convert to fraction form
    2,596.97/3,893.00 = 1,037.95/x
  3. Step 3: Cross multiply
    2,596.97x = 3,893.00 × 1,037.95
  4. Step 4: Simplify right side
    2,596.97x = 4,040,724.43
  5. Step 5: Solve for x
    x = 4,040,724.43/2,596.97
  6. Step 6: Final answer
    x = 1,555.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.