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Finding the Fourth Proportional to 2,997.63, 4,136.91 and 1,738.98

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Solution

The fourth proportional to 2,997.63, 4,136.91 and 1,738.98 is: 2,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.63 : 4,136.91 = 1,738.98 : x
  2. Step 2: Convert to fraction form
    2,997.63/4,136.91 = 1,738.98/x
  3. Step 3: Cross multiply
    2,997.63x = 4,136.91 × 1,738.98
  4. Step 4: Simplify right side
    2,997.63x = 7,194,003.75
  5. Step 5: Solve for x
    x = 7,194,003.75/2,997.63
  6. Step 6: Final answer
    x = 2,399.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.