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Finding the Fourth Proportional to 1,837.26, 2,755.89 and 450.58

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Solution

The fourth proportional to 1,837.26, 2,755.89 and 450.58 is: 675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.26 : 2,755.89 = 450.58 : x
  2. Step 2: Convert to fraction form
    1,837.26/2,755.89 = 450.58/x
  3. Step 3: Cross multiply
    1,837.26x = 2,755.89 × 450.58
  4. Step 4: Simplify right side
    1,837.26x = 1,241,751.11
  5. Step 5: Solve for x
    x = 1,241,751.11/1,837.26
  6. Step 6: Final answer
    x = 675.87

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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.