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Finding the Fourth Proportional to 2,138.27, 2,950.73 and 1,194.01

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Solution

The fourth proportional to 2,138.27, 2,950.73 and 1,194.01 is: 1,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.27 : 2,950.73 = 1,194.01 : x
  2. Step 2: Convert to fraction form
    2,138.27/2,950.73 = 1,194.01/x
  3. Step 3: Cross multiply
    2,138.27x = 2,950.73 × 1,194.01
  4. Step 4: Simplify right side
    2,138.27x = 3,523,187.78
  5. Step 5: Solve for x
    x = 3,523,187.78/2,138.27
  6. Step 6: Final answer
    x = 1,647.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.