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Finding the Fourth Proportional to 2,024.50, 2,793.78 and 1,744.24

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Solution

The fourth proportional to 2,024.50, 2,793.78 and 1,744.24 is: 2,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.50 : 2,793.78 = 1,744.24 : x
  2. Step 2: Convert to fraction form
    2,024.50/2,793.78 = 1,744.24/x
  3. Step 3: Cross multiply
    2,024.50x = 2,793.78 × 1,744.24
  4. Step 4: Simplify right side
    2,024.50x = 4,873,022.83
  5. Step 5: Solve for x
    x = 4,873,022.83/2,024.50
  6. Step 6: Final answer
    x = 2,407.03

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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.