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Finding the Fourth Proportional to 2,081.93, 3,123.20 and 620.89

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Solution

The fourth proportional to 2,081.93, 3,123.20 and 620.89 is: 931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.93 : 3,123.20 = 620.89 : x
  2. Step 2: Convert to fraction form
    2,081.93/3,123.20 = 620.89/x
  3. Step 3: Cross multiply
    2,081.93x = 3,123.20 × 620.89
  4. Step 4: Simplify right side
    2,081.93x = 1,939,163.65
  5. Step 5: Solve for x
    x = 1,939,163.65/2,081.93
  6. Step 6: Final answer
    x = 931.43

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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.