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Finding the Fourth Proportional to 2,058.44, 3,087 and 1,729.46

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Solution

The fourth proportional to 2,058.44, 3,087 and 1,729.46 is: 2,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.44 : 3,087 = 1,729.46 : x
  2. Step 2: Convert to fraction form
    2,058.44/3,087 = 1,729.46/x
  3. Step 3: Cross multiply
    2,058.44x = 3,087 × 1,729.46
  4. Step 4: Simplify right side
    2,058.44x = 5,338,850.74
  5. Step 5: Solve for x
    x = 5,338,850.74/2,058.44
  6. Step 6: Final answer
    x = 2,593.65

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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.