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Finding the Fourth Proportional to 1,832.40, 2,744.28 and 1,418.22

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Solution

The fourth proportional to 1,832.40, 2,744.28 and 1,418.22 is: 2,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.40 : 2,744.28 = 1,418.22 : x
  2. Step 2: Convert to fraction form
    1,832.40/2,744.28 = 1,418.22/x
  3. Step 3: Cross multiply
    1,832.40x = 2,744.28 × 1,418.22
  4. Step 4: Simplify right side
    1,832.40x = 3,891,992.78
  5. Step 5: Solve for x
    x = 3,891,992.78/1,832.40
  6. Step 6: Final answer
    x = 2,123.99

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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.