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Finding the Fourth Proportional to 2,448.63, 3,668.49 and 1,867.46

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Solution

The fourth proportional to 2,448.63, 3,668.49 and 1,867.46 is: 2,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.63 : 3,668.49 = 1,867.46 : x
  2. Step 2: Convert to fraction form
    2,448.63/3,668.49 = 1,867.46/x
  3. Step 3: Cross multiply
    2,448.63x = 3,668.49 × 1,867.46
  4. Step 4: Simplify right side
    2,448.63x = 6,850,739.99
  5. Step 5: Solve for x
    x = 6,850,739.99/2,448.63
  6. Step 6: Final answer
    x = 2,797.78

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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.