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Finding the Fourth Proportional to 2,646, 3,969 and 1,107

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Solution

The fourth proportional to 2,646, 3,969 and 1,107 is: 1,660.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646 : 3,969 = 1,107 : x
  2. Step 2: Convert to fraction form
    2,646/3,969 = 1,107/x
  3. Step 3: Cross multiply
    2,646x = 3,969 × 1,107
  4. Step 4: Simplify right side
    2,646x = 4,393,683
  5. Step 5: Solve for x
    x = 4,393,683/2,646
  6. Step 6: Final answer
    x = 1,660.50

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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.