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Finding the Fourth Proportional to 2,464.26, 3,696.84 and 820.65

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Solution

The fourth proportional to 2,464.26, 3,696.84 and 820.65 is: 1,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.26 : 3,696.84 = 820.65 : x
  2. Step 2: Convert to fraction form
    2,464.26/3,696.84 = 820.65/x
  3. Step 3: Cross multiply
    2,464.26x = 3,696.84 × 820.65
  4. Step 4: Simplify right side
    2,464.26x = 3,033,811.75
  5. Step 5: Solve for x
    x = 3,033,811.75/2,464.26
  6. Step 6: Final answer
    x = 1,231.12

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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.