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Finding the Fourth Proportional to 4,919.84, 7,381.92 and 1,633.44

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Solution

The fourth proportional to 4,919.84, 7,381.92 and 1,633.44 is: 2,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.84 : 7,381.92 = 1,633.44 : x
  2. Step 2: Convert to fraction form
    4,919.84/7,381.92 = 1,633.44/x
  3. Step 3: Cross multiply
    4,919.84x = 7,381.92 × 1,633.44
  4. Step 4: Simplify right side
    4,919.84x = 12,057,923.40
  5. Step 5: Solve for x
    x = 12,057,923.40/4,919.84
  6. Step 6: Final answer
    x = 2,450.88

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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.