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Finding the Fourth Proportional to 2,738, 4,107 and 890.66

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Solution

The fourth proportional to 2,738, 4,107 and 890.66 is: 1,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738 : 4,107 = 890.66 : x
  2. Step 2: Convert to fraction form
    2,738/4,107 = 890.66/x
  3. Step 3: Cross multiply
    2,738x = 4,107 × 890.66
  4. Step 4: Simplify right side
    2,738x = 3,657,940.62
  5. Step 5: Solve for x
    x = 3,657,940.62/2,738
  6. Step 6: Final answer
    x = 1,335.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.