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Finding the Fourth Proportional to 2,450.78, 3,381.97 and 1,402.82

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Solution

The fourth proportional to 2,450.78, 3,381.97 and 1,402.82 is: 1,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.78 : 3,381.97 = 1,402.82 : x
  2. Step 2: Convert to fraction form
    2,450.78/3,381.97 = 1,402.82/x
  3. Step 3: Cross multiply
    2,450.78x = 3,381.97 × 1,402.82
  4. Step 4: Simplify right side
    2,450.78x = 4,744,295.16
  5. Step 5: Solve for x
    x = 4,744,295.16/2,450.78
  6. Step 6: Final answer
    x = 1,935.83

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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.