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Finding the Fourth Proportional to 2,675.43, 4,013.07 and 727.63

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Solution

The fourth proportional to 2,675.43, 4,013.07 and 727.63 is: 1,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.43 : 4,013.07 = 727.63 : x
  2. Step 2: Convert to fraction form
    2,675.43/4,013.07 = 727.63/x
  3. Step 3: Cross multiply
    2,675.43x = 4,013.07 × 727.63
  4. Step 4: Simplify right side
    2,675.43x = 2,920,041.98
  5. Step 5: Solve for x
    x = 2,920,041.98/2,675.43
  6. Step 6: Final answer
    x = 1,091.43

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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.