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Finding the Fourth Proportional to 1,623.34, 2,436.37 and 843.82

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Solution

The fourth proportional to 1,623.34, 2,436.37 and 843.82 is: 1,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.34 : 2,436.37 = 843.82 : x
  2. Step 2: Convert to fraction form
    1,623.34/2,436.37 = 843.82/x
  3. Step 3: Cross multiply
    1,623.34x = 2,436.37 × 843.82
  4. Step 4: Simplify right side
    1,623.34x = 2,055,849.53
  5. Step 5: Solve for x
    x = 2,055,849.53/1,623.34
  6. Step 6: Final answer
    x = 1,266.43

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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.