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Finding the Fourth Proportional to 2,668.97, 4,003.46 and 721.32

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Solution

The fourth proportional to 2,668.97, 4,003.46 and 721.32 is: 1,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.97 : 4,003.46 = 721.32 : x
  2. Step 2: Convert to fraction form
    2,668.97/4,003.46 = 721.32/x
  3. Step 3: Cross multiply
    2,668.97x = 4,003.46 × 721.32
  4. Step 4: Simplify right side
    2,668.97x = 2,887,772.16
  5. Step 5: Solve for x
    x = 2,887,772.16/2,668.97
  6. Step 6: Final answer
    x = 1,081.98

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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.