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Finding the Fourth Proportional to 2,446.25, 3,668.38 and 779.83

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Solution

The fourth proportional to 2,446.25, 3,668.38 and 779.83 is: 1,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.25 : 3,668.38 = 779.83 : x
  2. Step 2: Convert to fraction form
    2,446.25/3,668.38 = 779.83/x
  3. Step 3: Cross multiply
    2,446.25x = 3,668.38 × 779.83
  4. Step 4: Simplify right side
    2,446.25x = 2,860,701.65
  5. Step 5: Solve for x
    x = 2,860,701.65/2,446.25
  6. Step 6: Final answer
    x = 1,169.43

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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.