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Finding the Fourth Proportional to 2,651.14, 3,980.31 and 1,827.37

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Solution

The fourth proportional to 2,651.14, 3,980.31 and 1,827.37 is: 2,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.14 : 3,980.31 = 1,827.37 : x
  2. Step 2: Convert to fraction form
    2,651.14/3,980.31 = 1,827.37/x
  3. Step 3: Cross multiply
    2,651.14x = 3,980.31 × 1,827.37
  4. Step 4: Simplify right side
    2,651.14x = 7,273,499.08
  5. Step 5: Solve for x
    x = 7,273,499.08/2,651.14
  6. Step 6: Final answer
    x = 2,743.54

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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.