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Finding the Fourth Proportional to 2,014, 3,021 and 646

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Solution

The fourth proportional to 2,014, 3,021 and 646 is: 969

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014 : 3,021 = 646 : x
  2. Step 2: Convert to fraction form
    2,014/3,021 = 646/x
  3. Step 3: Cross multiply
    2,014x = 3,021 × 646
  4. Step 4: Simplify right side
    2,014x = 1,951,566
  5. Step 5: Solve for x
    x = 1,951,566/2,014
  6. Step 6: Final answer
    x = 969

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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.