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Finding the Fourth Proportional to 3,107.54, 4,660.19 and 1,027.16

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Solution

The fourth proportional to 3,107.54, 4,660.19 and 1,027.16 is: 1,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.54 : 4,660.19 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    3,107.54/4,660.19 = 1,027.16/x
  3. Step 3: Cross multiply
    3,107.54x = 4,660.19 × 1,027.16
  4. Step 4: Simplify right side
    3,107.54x = 4,786,740.03
  5. Step 5: Solve for x
    x = 4,786,740.03/3,107.54
  6. Step 6: Final answer
    x = 1,540.37

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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.