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Finding the Fourth Proportional to 1,811.20, 2,717.72 and 838

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Solution

The fourth proportional to 1,811.20, 2,717.72 and 838 is: 1,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.20 : 2,717.72 = 838 : x
  2. Step 2: Convert to fraction form
    1,811.20/2,717.72 = 838/x
  3. Step 3: Cross multiply
    1,811.20x = 2,717.72 × 838
  4. Step 4: Simplify right side
    1,811.20x = 2,277,445.17
  5. Step 5: Solve for x
    x = 2,277,445.17/1,811.20
  6. Step 6: Final answer
    x = 1,257.42

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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.