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Finding the Fourth Proportional to 2,996.72, 4,136.02 and 1,738.58

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Solution

The fourth proportional to 2,996.72, 4,136.02 and 1,738.58 is: 2,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.72 : 4,136.02 = 1,738.58 : x
  2. Step 2: Convert to fraction form
    2,996.72/4,136.02 = 1,738.58/x
  3. Step 3: Cross multiply
    2,996.72x = 4,136.02 × 1,738.58
  4. Step 4: Simplify right side
    2,996.72x = 7,190,801.65
  5. Step 5: Solve for x
    x = 7,190,801.65/2,996.72
  6. Step 6: Final answer
    x = 2,399.56

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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.