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Finding the Fourth Proportional to 2,633.34, 3,941.73 and 1,806.78

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Solution

The fourth proportional to 2,633.34, 3,941.73 and 1,806.78 is: 2,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.34 : 3,941.73 = 1,806.78 : x
  2. Step 2: Convert to fraction form
    2,633.34/3,941.73 = 1,806.78/x
  3. Step 3: Cross multiply
    2,633.34x = 3,941.73 × 1,806.78
  4. Step 4: Simplify right side
    2,633.34x = 7,121,838.93
  5. Step 5: Solve for x
    x = 7,121,838.93/2,633.34
  6. Step 6: Final answer
    x = 2,704.49

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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.