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Finding the Fourth Proportional to 1,826.37, 2,739.87 and 593.43

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Solution

The fourth proportional to 1,826.37, 2,739.87 and 593.43 is: 890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.37 : 2,739.87 = 593.43 : x
  2. Step 2: Convert to fraction form
    1,826.37/2,739.87 = 593.43/x
  3. Step 3: Cross multiply
    1,826.37x = 2,739.87 × 593.43
  4. Step 4: Simplify right side
    1,826.37x = 1,625,921.05
  5. Step 5: Solve for x
    x = 1,625,921.05/1,826.37
  6. Step 6: Final answer
    x = 890.25

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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.