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Finding the Fourth Proportional to 1,826.46, 2,738.43 and 656.43

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Solution

The fourth proportional to 1,826.46, 2,738.43 and 656.43 is: 984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.46 : 2,738.43 = 656.43 : x
  2. Step 2: Convert to fraction form
    1,826.46/2,738.43 = 656.43/x
  3. Step 3: Cross multiply
    1,826.46x = 2,738.43 × 656.43
  4. Step 4: Simplify right side
    1,826.46x = 1,797,587.60
  5. Step 5: Solve for x
    x = 1,797,587.60/1,826.46
  6. Step 6: Final answer
    x = 984.19

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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.