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Finding the Fourth Proportional to 1,843.26, 2,764.28 and 610.32

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Solution

The fourth proportional to 1,843.26, 2,764.28 and 610.32 is: 915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.26 : 2,764.28 = 610.32 : x
  2. Step 2: Convert to fraction form
    1,843.26/2,764.28 = 610.32/x
  3. Step 3: Cross multiply
    1,843.26x = 2,764.28 × 610.32
  4. Step 4: Simplify right side
    1,843.26x = 1,687,092.32
  5. Step 5: Solve for x
    x = 1,687,092.32/1,843.26
  6. Step 6: Final answer
    x = 915.28

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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.