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Finding the Fourth Proportional to 1,837.56, 2,535.82 and 998.25

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Solution

The fourth proportional to 1,837.56, 2,535.82 and 998.25 is: 1,377.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.56 : 2,535.82 = 998.25 : x
  2. Step 2: Convert to fraction form
    1,837.56/2,535.82 = 998.25/x
  3. Step 3: Cross multiply
    1,837.56x = 2,535.82 × 998.25
  4. Step 4: Simplify right side
    1,837.56x = 2,531,393.07
  5. Step 5: Solve for x
    x = 2,531,393.07/1,837.56
  6. Step 6: Final answer
    x = 1,377.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.