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Finding the Fourth Proportional to 2,668.01, 3,682.14 and 1,548.73

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Solution

The fourth proportional to 2,668.01, 3,682.14 and 1,548.73 is: 2,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.01 : 3,682.14 = 1,548.73 : x
  2. Step 2: Convert to fraction form
    2,668.01/3,682.14 = 1,548.73/x
  3. Step 3: Cross multiply
    2,668.01x = 3,682.14 × 1,548.73
  4. Step 4: Simplify right side
    2,668.01x = 5,702,640.68
  5. Step 5: Solve for x
    x = 5,702,640.68/2,668.01
  6. Step 6: Final answer
    x = 2,137.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.