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Finding the Fourth Proportional to 2,058, 2,838.78 and 1,469.34

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Solution

The fourth proportional to 2,058, 2,838.78 and 1,469.34 is: 2,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058 : 2,838.78 = 1,469.34 : x
  2. Step 2: Convert to fraction form
    2,058/2,838.78 = 1,469.34/x
  3. Step 3: Cross multiply
    2,058x = 2,838.78 × 1,469.34
  4. Step 4: Simplify right side
    2,058x = 4,171,133.01
  5. Step 5: Solve for x
    x = 4,171,133.01/2,058
  6. Step 6: Final answer
    x = 2,026.79

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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.