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Finding the Fourth Proportional to 3,161.24, 4,362.38 and 1,764.12

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Solution

The fourth proportional to 3,161.24, 4,362.38 and 1,764.12 is: 2,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.24 : 4,362.38 = 1,764.12 : x
  2. Step 2: Convert to fraction form
    3,161.24/4,362.38 = 1,764.12/x
  3. Step 3: Cross multiply
    3,161.24x = 4,362.38 × 1,764.12
  4. Step 4: Simplify right side
    3,161.24x = 7,695,761.81
  5. Step 5: Solve for x
    x = 7,695,761.81/3,161.24
  6. Step 6: Final answer
    x = 2,434.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.