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Finding the Fourth Proportional to 2,450.40, 3,381.84 and 1,402.80

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Solution

The fourth proportional to 2,450.40, 3,381.84 and 1,402.80 is: 1,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.40 : 3,381.84 = 1,402.80 : x
  2. Step 2: Convert to fraction form
    2,450.40/3,381.84 = 1,402.80/x
  3. Step 3: Cross multiply
    2,450.40x = 3,381.84 × 1,402.80
  4. Step 4: Simplify right side
    2,450.40x = 4,744,045.15
  5. Step 5: Solve for x
    x = 4,744,045.15/2,450.40
  6. Step 6: Final answer
    x = 1,936.03

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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.