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Finding the Fourth Proportional to 3,107.12, 4,662.24 and 1,568

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Solution

The fourth proportional to 3,107.12, 4,662.24 and 1,568 is: 2,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.12 : 4,662.24 = 1,568 : x
  2. Step 2: Convert to fraction form
    3,107.12/4,662.24 = 1,568/x
  3. Step 3: Cross multiply
    3,107.12x = 4,662.24 × 1,568
  4. Step 4: Simplify right side
    3,107.12x = 7,310,392.32
  5. Step 5: Solve for x
    x = 7,310,392.32/3,107.12
  6. Step 6: Final answer
    x = 2,352.79

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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.