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Finding the Fourth Proportional to 3,058, 4,220.04 and 1,660.78

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Solution

The fourth proportional to 3,058, 4,220.04 and 1,660.78 is: 2,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058 : 4,220.04 = 1,660.78 : x
  2. Step 2: Convert to fraction form
    3,058/4,220.04 = 1,660.78/x
  3. Step 3: Cross multiply
    3,058x = 4,220.04 × 1,660.78
  4. Step 4: Simplify right side
    3,058x = 7,008,558.03
  5. Step 5: Solve for x
    x = 7,008,558.03/3,058
  6. Step 6: Final answer
    x = 2,291.88

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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.