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Finding the Fourth Proportional to 2,003.56, 2,763.39 and 1,724.27

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Solution

The fourth proportional to 2,003.56, 2,763.39 and 1,724.27 is: 2,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.56 : 2,763.39 = 1,724.27 : x
  2. Step 2: Convert to fraction form
    2,003.56/2,763.39 = 1,724.27/x
  3. Step 3: Cross multiply
    2,003.56x = 2,763.39 × 1,724.27
  4. Step 4: Simplify right side
    2,003.56x = 4,764,830.48
  5. Step 5: Solve for x
    x = 4,764,830.48/2,003.56
  6. Step 6: Final answer
    x = 2,378.18

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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.