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Finding the Fourth Proportional to 2,644, 3,966 and 1,105

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Solution

The fourth proportional to 2,644, 3,966 and 1,105 is: 1,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644 : 3,966 = 1,105 : x
  2. Step 2: Convert to fraction form
    2,644/3,966 = 1,105/x
  3. Step 3: Cross multiply
    2,644x = 3,966 × 1,105
  4. Step 4: Simplify right side
    2,644x = 4,382,430
  5. Step 5: Solve for x
    x = 4,382,430/2,644
  6. Step 6: Final answer
    x = 1,657.50

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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.