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Finding the Fourth Proportional to 2,024.50, 2,793.84 and 1,238.44

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Solution

The fourth proportional to 2,024.50, 2,793.84 and 1,238.44 is: 1,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.50 : 2,793.84 = 1,238.44 : x
  2. Step 2: Convert to fraction form
    2,024.50/2,793.84 = 1,238.44/x
  3. Step 3: Cross multiply
    2,024.50x = 2,793.84 × 1,238.44
  4. Step 4: Simplify right side
    2,024.50x = 3,460,003.21
  5. Step 5: Solve for x
    x = 3,460,003.21/2,024.50
  6. Step 6: Final answer
    x = 1,709.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.