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Finding the Fourth Proportional to 2,675.41, 4,013.33 and 727.57

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Solution

The fourth proportional to 2,675.41, 4,013.33 and 727.57 is: 1,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.41 : 4,013.33 = 727.57 : x
  2. Step 2: Convert to fraction form
    2,675.41/4,013.33 = 727.57/x
  3. Step 3: Cross multiply
    2,675.41x = 4,013.33 × 727.57
  4. Step 4: Simplify right side
    2,675.41x = 2,919,978.51
  5. Step 5: Solve for x
    x = 2,919,978.51/2,675.41
  6. Step 6: Final answer
    x = 1,091.41

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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.