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Finding the Fourth Proportional to 3,205.93, 4,804.97 and 1,820.42

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Solution

The fourth proportional to 3,205.93, 4,804.97 and 1,820.42 is: 2,728.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.93 : 4,804.97 = 1,820.42 : x
  2. Step 2: Convert to fraction form
    3,205.93/4,804.97 = 1,820.42/x
  3. Step 3: Cross multiply
    3,205.93x = 4,804.97 × 1,820.42
  4. Step 4: Simplify right side
    3,205.93x = 8,747,085.65
  5. Step 5: Solve for x
    x = 8,747,085.65/3,205.93
  6. Step 6: Final answer
    x = 2,728.41

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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.