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Finding the Fourth Proportional to 2,682.63, 4,023.90 and 834.57

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Solution

The fourth proportional to 2,682.63, 4,023.90 and 834.57 is: 1,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.63 : 4,023.90 = 834.57 : x
  2. Step 2: Convert to fraction form
    2,682.63/4,023.90 = 834.57/x
  3. Step 3: Cross multiply
    2,682.63x = 4,023.90 × 834.57
  4. Step 4: Simplify right side
    2,682.63x = 3,358,226.22
  5. Step 5: Solve for x
    x = 3,358,226.22/2,682.63
  6. Step 6: Final answer
    x = 1,251.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.