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Finding the Fourth Proportional to 2,668.98, 4,003.68 and 721.20

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Solution

The fourth proportional to 2,668.98, 4,003.68 and 721.20 is: 1,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.98 : 4,003.68 = 721.20 : x
  2. Step 2: Convert to fraction form
    2,668.98/4,003.68 = 721.20/x
  3. Step 3: Cross multiply
    2,668.98x = 4,003.68 × 721.20
  4. Step 4: Simplify right side
    2,668.98x = 2,887,454.02
  5. Step 5: Solve for x
    x = 2,887,454.02/2,668.98
  6. Step 6: Final answer
    x = 1,081.86

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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.