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Finding the Fourth Proportional to 2,699.26, 4,049.43 and 968.02

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Solution

The fourth proportional to 2,699.26, 4,049.43 and 968.02 is: 1,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.26 : 4,049.43 = 968.02 : x
  2. Step 2: Convert to fraction form
    2,699.26/4,049.43 = 968.02/x
  3. Step 3: Cross multiply
    2,699.26x = 4,049.43 × 968.02
  4. Step 4: Simplify right side
    2,699.26x = 3,919,929.23
  5. Step 5: Solve for x
    x = 3,919,929.23/2,699.26
  6. Step 6: Final answer
    x = 1,452.22

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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.