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Finding the Fourth Proportional to 2,738.54, 4,108.73 and 889.72

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Solution

The fourth proportional to 2,738.54, 4,108.73 and 889.72 is: 1,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.54 : 4,108.73 = 889.72 : x
  2. Step 2: Convert to fraction form
    2,738.54/4,108.73 = 889.72/x
  3. Step 3: Cross multiply
    2,738.54x = 4,108.73 × 889.72
  4. Step 4: Simplify right side
    2,738.54x = 3,655,604.54
  5. Step 5: Solve for x
    x = 3,655,604.54/2,738.54
  6. Step 6: Final answer
    x = 1,334.87

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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.