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Finding the Fourth Proportional to 2,738.10, 4,107.80 and 889.22

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Solution

The fourth proportional to 2,738.10, 4,107.80 and 889.22 is: 1,334.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.10 : 4,107.80 = 889.22 : x
  2. Step 2: Convert to fraction form
    2,738.10/4,107.80 = 889.22/x
  3. Step 3: Cross multiply
    2,738.10x = 4,107.80 × 889.22
  4. Step 4: Simplify right side
    2,738.10x = 3,652,737.92
  5. Step 5: Solve for x
    x = 3,652,737.92/2,738.10
  6. Step 6: Final answer
    x = 1,334.04

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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.