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Finding the Fourth Proportional to 1,609.22, 2,411.24 and 682.64

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Solution

The fourth proportional to 1,609.22, 2,411.24 and 682.64 is: 1,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.22 : 2,411.24 = 682.64 : x
  2. Step 2: Convert to fraction form
    1,609.22/2,411.24 = 682.64/x
  3. Step 3: Cross multiply
    1,609.22x = 2,411.24 × 682.64
  4. Step 4: Simplify right side
    1,609.22x = 1,645,998.52
  5. Step 5: Solve for x
    x = 1,645,998.52/1,609.22
  6. Step 6: Final answer
    x = 1,022.85

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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.