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Finding the Fourth Proportional to 2,058, 3,086.70 and 759.24

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Solution

The fourth proportional to 2,058, 3,086.70 and 759.24 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058 : 3,086.70 = 759.24 : x
  2. Step 2: Convert to fraction form
    2,058/3,086.70 = 759.24/x
  3. Step 3: Cross multiply
    2,058x = 3,086.70 × 759.24
  4. Step 4: Simplify right side
    2,058x = 2,343,546.11
  5. Step 5: Solve for x
    x = 2,343,546.11/2,058
  6. Step 6: Final answer
    x = 1,138.75

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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.