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Finding the Fourth Proportional to 3,169.91, 4,760.33 and 1,944.51

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Solution

The fourth proportional to 3,169.91, 4,760.33 and 1,944.51 is: 2,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.91 : 4,760.33 = 1,944.51 : x
  2. Step 2: Convert to fraction form
    3,169.91/4,760.33 = 1,944.51/x
  3. Step 3: Cross multiply
    3,169.91x = 4,760.33 × 1,944.51
  4. Step 4: Simplify right side
    3,169.91x = 9,256,499.57
  5. Step 5: Solve for x
    x = 9,256,499.57/3,169.91
  6. Step 6: Final answer
    x = 2,920.12

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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.