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Finding the Fourth Proportional to 1,832.87, 2,747.30 and 599.37

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Solution

The fourth proportional to 1,832.87, 2,747.30 and 599.37 is: 898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.87 : 2,747.30 = 599.37 : x
  2. Step 2: Convert to fraction form
    1,832.87/2,747.30 = 599.37/x
  3. Step 3: Cross multiply
    1,832.87x = 2,747.30 × 599.37
  4. Step 4: Simplify right side
    1,832.87x = 1,646,664.98
  5. Step 5: Solve for x
    x = 1,646,664.98/1,832.87
  6. Step 6: Final answer
    x = 898.41

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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.