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Finding the Fourth Proportional to 1,842.20, 2,763.19 and 746.27

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Solution

The fourth proportional to 1,842.20, 2,763.19 and 746.27 is: 1,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.20 : 2,763.19 = 746.27 : x
  2. Step 2: Convert to fraction form
    1,842.20/2,763.19 = 746.27/x
  3. Step 3: Cross multiply
    1,842.20x = 2,763.19 × 746.27
  4. Step 4: Simplify right side
    1,842.20x = 2,062,085.80
  5. Step 5: Solve for x
    x = 2,062,085.80/1,842.20
  6. Step 6: Final answer
    x = 1,119.36

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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.