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Finding the Fourth Proportional to 2,998, 4,497 and 946

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Solution

The fourth proportional to 2,998, 4,497 and 946 is: 1,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 4,497 = 946 : x
  2. Step 2: Convert to fraction form
    2,998/4,497 = 946/x
  3. Step 3: Cross multiply
    2,998x = 4,497 × 946
  4. Step 4: Simplify right side
    2,998x = 4,254,162
  5. Step 5: Solve for x
    x = 4,254,162/2,998
  6. Step 6: Final answer
    x = 1,419

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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.