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Finding the Fourth Proportional to 1,826, 2,738.42 and 593.13

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Solution

The fourth proportional to 1,826, 2,738.42 and 593.13 is: 889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826 : 2,738.42 = 593.13 : x
  2. Step 2: Convert to fraction form
    1,826/2,738.42 = 593.13/x
  3. Step 3: Cross multiply
    1,826x = 2,738.42 × 593.13
  4. Step 4: Simplify right side
    1,826x = 1,624,239.05
  5. Step 5: Solve for x
    x = 1,624,239.05/1,826
  6. Step 6: Final answer
    x = 889.51

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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.