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Finding the Fourth Proportional to 2,997.60, 4,136.61 and 1,738.63

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Solution

The fourth proportional to 2,997.60, 4,136.61 and 1,738.63 is: 2,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.60 : 4,136.61 = 1,738.63 : x
  2. Step 2: Convert to fraction form
    2,997.60/4,136.61 = 1,738.63/x
  3. Step 3: Cross multiply
    2,997.60x = 4,136.61 × 1,738.63
  4. Step 4: Simplify right side
    2,997.60x = 7,192,034.24
  5. Step 5: Solve for x
    x = 7,192,034.24/2,997.60
  6. Step 6: Final answer
    x = 2,399.26

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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.