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Finding the Fourth Proportional to 2,675.34, 4,013.01 and 727.83

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Solution

The fourth proportional to 2,675.34, 4,013.01 and 727.83 is: 1,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.34 : 4,013.01 = 727.83 : x
  2. Step 2: Convert to fraction form
    2,675.34/4,013.01 = 727.83/x
  3. Step 3: Cross multiply
    2,675.34x = 4,013.01 × 727.83
  4. Step 4: Simplify right side
    2,675.34x = 2,920,789.07
  5. Step 5: Solve for x
    x = 2,920,789.07/2,675.34
  6. Step 6: Final answer
    x = 1,091.75

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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.