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Finding the Fourth Proportional to 1,826.11, 2,738.84 and 593.34

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Solution

The fourth proportional to 1,826.11, 2,738.84 and 593.34 is: 889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.11 : 2,738.84 = 593.34 : x
  2. Step 2: Convert to fraction form
    1,826.11/2,738.84 = 593.34/x
  3. Step 3: Cross multiply
    1,826.11x = 2,738.84 × 593.34
  4. Step 4: Simplify right side
    1,826.11x = 1,625,063.33
  5. Step 5: Solve for x
    x = 1,625,063.33/1,826.11
  6. Step 6: Final answer
    x = 889.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.