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Finding the Fourth Proportional to 1,659.46, 2,290.32 and 996.70

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Solution

The fourth proportional to 1,659.46, 2,290.32 and 996.70 is: 1,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.46 : 2,290.32 = 996.70 : x
  2. Step 2: Convert to fraction form
    1,659.46/2,290.32 = 996.70/x
  3. Step 3: Cross multiply
    1,659.46x = 2,290.32 × 996.70
  4. Step 4: Simplify right side
    1,659.46x = 2,282,761.94
  5. Step 5: Solve for x
    x = 2,282,761.94/1,659.46
  6. Step 6: Final answer
    x = 1,375.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.