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Finding the Fourth Proportional to 2,738.06, 4,107.15 and 889.20

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Solution

The fourth proportional to 2,738.06, 4,107.15 and 889.20 is: 1,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.06 : 4,107.15 = 889.20 : x
  2. Step 2: Convert to fraction form
    2,738.06/4,107.15 = 889.20/x
  3. Step 3: Cross multiply
    2,738.06x = 4,107.15 × 889.20
  4. Step 4: Simplify right side
    2,738.06x = 3,652,077.78
  5. Step 5: Solve for x
    x = 3,652,077.78/2,738.06
  6. Step 6: Final answer
    x = 1,333.82

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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.