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Finding the Fourth Proportional to 2,738.87, 4,108.53 and 889.25

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Solution

The fourth proportional to 2,738.87, 4,108.53 and 889.25 is: 1,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.87 : 4,108.53 = 889.25 : x
  2. Step 2: Convert to fraction form
    2,738.87/4,108.53 = 889.25/x
  3. Step 3: Cross multiply
    2,738.87x = 4,108.53 × 889.25
  4. Step 4: Simplify right side
    2,738.87x = 3,653,505.86
  5. Step 5: Solve for x
    x = 3,653,505.86/2,738.87
  6. Step 6: Final answer
    x = 1,333.95

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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.