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Finding the Fourth Proportional to 1,843.20, 2,763.74 and 610.26

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Solution

The fourth proportional to 1,843.20, 2,763.74 and 610.26 is: 915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.20 : 2,763.74 = 610.26 : x
  2. Step 2: Convert to fraction form
    1,843.20/2,763.74 = 610.26/x
  3. Step 3: Cross multiply
    1,843.20x = 2,763.74 × 610.26
  4. Step 4: Simplify right side
    1,843.20x = 1,686,599.97
  5. Step 5: Solve for x
    x = 1,686,599.97/1,843.20
  6. Step 6: Final answer
    x = 915.04

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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.