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Finding the Fourth Proportional to 2,458.80, 3,682.80 and 1,906.65

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Solution

The fourth proportional to 2,458.80, 3,682.80 and 1,906.65 is: 2,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.80 : 3,682.80 = 1,906.65 : x
  2. Step 2: Convert to fraction form
    2,458.80/3,682.80 = 1,906.65/x
  3. Step 3: Cross multiply
    2,458.80x = 3,682.80 × 1,906.65
  4. Step 4: Simplify right side
    2,458.80x = 7,021,810.62
  5. Step 5: Solve for x
    x = 7,021,810.62/2,458.80
  6. Step 6: Final answer
    x = 2,855.79

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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.