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Finding the Fourth Proportional to 2,668.73, 4,003.25 and 721.08

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Solution

The fourth proportional to 2,668.73, 4,003.25 and 721.08 is: 1,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.73 : 4,003.25 = 721.08 : x
  2. Step 2: Convert to fraction form
    2,668.73/4,003.25 = 721.08/x
  3. Step 3: Cross multiply
    2,668.73x = 4,003.25 × 721.08
  4. Step 4: Simplify right side
    2,668.73x = 2,886,659.90
  5. Step 5: Solve for x
    x = 2,886,659.90/2,668.73
  6. Step 6: Final answer
    x = 1,081.66

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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.