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Finding the Fourth Proportional to 2,896.73, 4,350.90 and 1,729.01

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Solution

The fourth proportional to 2,896.73, 4,350.90 and 1,729.01 is: 2,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.73 : 4,350.90 = 1,729.01 : x
  2. Step 2: Convert to fraction form
    2,896.73/4,350.90 = 1,729.01/x
  3. Step 3: Cross multiply
    2,896.73x = 4,350.90 × 1,729.01
  4. Step 4: Simplify right side
    2,896.73x = 7,522,727.85
  5. Step 5: Solve for x
    x = 7,522,727.85/2,896.73
  6. Step 6: Final answer
    x = 2,596.98

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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.