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Finding the Fourth Proportional to 2,450.35, 3,381.17 and 1,455.42

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Solution

The fourth proportional to 2,450.35, 3,381.17 and 1,455.42 is: 2,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.35 : 3,381.17 = 1,455.42 : x
  2. Step 2: Convert to fraction form
    2,450.35/3,381.17 = 1,455.42/x
  3. Step 3: Cross multiply
    2,450.35x = 3,381.17 × 1,455.42
  4. Step 4: Simplify right side
    2,450.35x = 4,921,022.44
  5. Step 5: Solve for x
    x = 4,921,022.44/2,450.35
  6. Step 6: Final answer
    x = 2,008.29

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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.