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Finding the Fourth Proportional to 2,821, 4,231.42 and 1,260.60

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Solution

The fourth proportional to 2,821, 4,231.42 and 1,260.60 is: 1,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821 : 4,231.42 = 1,260.60 : x
  2. Step 2: Convert to fraction form
    2,821/4,231.42 = 1,260.60/x
  3. Step 3: Cross multiply
    2,821x = 4,231.42 × 1,260.60
  4. Step 4: Simplify right side
    2,821x = 5,334,128.05
  5. Step 5: Solve for x
    x = 5,334,128.05/2,821
  6. Step 6: Final answer
    x = 1,890.86

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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.