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Finding the Fourth Proportional to 1,418.97, 2,126.60 and 725.05

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Solution

The fourth proportional to 1,418.97, 2,126.60 and 725.05 is: 1,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.97 : 2,126.60 = 725.05 : x
  2. Step 2: Convert to fraction form
    1,418.97/2,126.60 = 725.05/x
  3. Step 3: Cross multiply
    1,418.97x = 2,126.60 × 725.05
  4. Step 4: Simplify right side
    1,418.97x = 1,541,891.33
  5. Step 5: Solve for x
    x = 1,541,891.33/1,418.97
  6. Step 6: Final answer
    x = 1,086.63

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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.