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Finding the Fourth Proportional to 2,850.69, 4,274.45 and 1,962.27

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Solution

The fourth proportional to 2,850.69, 4,274.45 and 1,962.27 is: 2,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.69 : 4,274.45 = 1,962.27 : x
  2. Step 2: Convert to fraction form
    2,850.69/4,274.45 = 1,962.27/x
  3. Step 3: Cross multiply
    2,850.69x = 4,274.45 × 1,962.27
  4. Step 4: Simplify right side
    2,850.69x = 8,387,615.19
  5. Step 5: Solve for x
    x = 8,387,615.19/2,850.69
  6. Step 6: Final answer
    x = 2,942.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.