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Finding the Fourth Proportional to 3,130.97, 4,694.93 and 1,183.33

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Solution

The fourth proportional to 3,130.97, 4,694.93 and 1,183.33 is: 1,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.97 : 4,694.93 = 1,183.33 : x
  2. Step 2: Convert to fraction form
    3,130.97/4,694.93 = 1,183.33/x
  3. Step 3: Cross multiply
    3,130.97x = 4,694.93 × 1,183.33
  4. Step 4: Simplify right side
    3,130.97x = 5,555,629.50
  5. Step 5: Solve for x
    x = 5,555,629.50/3,130.97
  6. Step 6: Final answer
    x = 1,774.41

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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.