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Finding the Fourth Proportional to 2,450.84, 3,381.26 and 1,402.29

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Solution

The fourth proportional to 2,450.84, 3,381.26 and 1,402.29 is: 1,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.84 : 3,381.26 = 1,402.29 : x
  2. Step 2: Convert to fraction form
    2,450.84/3,381.26 = 1,402.29/x
  3. Step 3: Cross multiply
    2,450.84x = 3,381.26 × 1,402.29
  4. Step 4: Simplify right side
    2,450.84x = 4,741,500.07
  5. Step 5: Solve for x
    x = 4,741,500.07/2,450.84
  6. Step 6: Final answer
    x = 1,934.65

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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.