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Finding the Fourth Proportional to 2,997.99, 4,137.23 and 1,739.31

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Solution

The fourth proportional to 2,997.99, 4,137.23 and 1,739.31 is: 2,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.99 : 4,137.23 = 1,739.31 : x
  2. Step 2: Convert to fraction form
    2,997.99/4,137.23 = 1,739.31/x
  3. Step 3: Cross multiply
    2,997.99x = 4,137.23 × 1,739.31
  4. Step 4: Simplify right side
    2,997.99x = 7,195,916.81
  5. Step 5: Solve for x
    x = 7,195,916.81/2,997.99
  6. Step 6: Final answer
    x = 2,400.25

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Why These Related Problems?

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