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Finding the Fourth Proportional to 2,111.94, 3,169.27 and 1,138.72

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Solution

The fourth proportional to 2,111.94, 3,169.27 and 1,138.72 is: 1,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.94 : 3,169.27 = 1,138.72 : x
  2. Step 2: Convert to fraction form
    2,111.94/3,169.27 = 1,138.72/x
  3. Step 3: Cross multiply
    2,111.94x = 3,169.27 × 1,138.72
  4. Step 4: Simplify right side
    2,111.94x = 3,608,911.13
  5. Step 5: Solve for x
    x = 3,608,911.13/2,111.94
  6. Step 6: Final answer
    x = 1,708.81

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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.