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Finding the Fourth Proportional to 3,022.84, 4,523.30 and 1,790.84

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Solution

The fourth proportional to 3,022.84, 4,523.30 and 1,790.84 is: 2,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.84 : 4,523.30 = 1,790.84 : x
  2. Step 2: Convert to fraction form
    3,022.84/4,523.30 = 1,790.84/x
  3. Step 3: Cross multiply
    3,022.84x = 4,523.30 × 1,790.84
  4. Step 4: Simplify right side
    3,022.84x = 8,100,506.57
  5. Step 5: Solve for x
    x = 8,100,506.57/3,022.84
  6. Step 6: Final answer
    x = 2,679.77

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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.