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Finding the Fourth Proportional to 2,900, 4,002 and 1,796

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Solution

The fourth proportional to 2,900, 4,002 and 1,796 is: 2,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900 : 4,002 = 1,796 : x
  2. Step 2: Convert to fraction form
    2,900/4,002 = 1,796/x
  3. Step 3: Cross multiply
    2,900x = 4,002 × 1,796
  4. Step 4: Simplify right side
    2,900x = 7,187,592
  5. Step 5: Solve for x
    x = 7,187,592/2,900
  6. Step 6: Final answer
    x = 2,478.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.