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Finding the Fourth Proportional to 2,058.45, 3,094.50 and 1,906.26

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Solution

The fourth proportional to 2,058.45, 3,094.50 and 1,906.26 is: 2,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.45 : 3,094.50 = 1,906.26 : x
  2. Step 2: Convert to fraction form
    2,058.45/3,094.50 = 1,906.26/x
  3. Step 3: Cross multiply
    2,058.45x = 3,094.50 × 1,906.26
  4. Step 4: Simplify right side
    2,058.45x = 5,898,921.57
  5. Step 5: Solve for x
    x = 5,898,921.57/2,058.45
  6. Step 6: Final answer
    x = 2,865.71

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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.