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Finding the Fourth Proportional to 1,998.18, 2,754.18 and 1,837.26

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Solution

The fourth proportional to 1,998.18, 2,754.18 and 1,837.26 is: 2,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.18 : 2,754.18 = 1,837.26 : x
  2. Step 2: Convert to fraction form
    1,998.18/2,754.18 = 1,837.26/x
  3. Step 3: Cross multiply
    1,998.18x = 2,754.18 × 1,837.26
  4. Step 4: Simplify right side
    1,998.18x = 5,060,144.75
  5. Step 5: Solve for x
    x = 5,060,144.75/1,998.18
  6. Step 6: Final answer
    x = 2,532.38

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Why These Related Problems?

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