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Finding the Fourth Proportional to 1,832.57, 2,744.74 and 1,393.15

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Solution

The fourth proportional to 1,832.57, 2,744.74 and 1,393.15 is: 2,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.57 : 2,744.74 = 1,393.15 : x
  2. Step 2: Convert to fraction form
    1,832.57/2,744.74 = 1,393.15/x
  3. Step 3: Cross multiply
    1,832.57x = 2,744.74 × 1,393.15
  4. Step 4: Simplify right side
    1,832.57x = 3,823,826.72
  5. Step 5: Solve for x
    x = 3,823,826.72/1,832.57
  6. Step 6: Final answer
    x = 2,086.59

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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.