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Finding the Fourth Proportional to 2,109.92, 2,912.48 and 1,446.64

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Solution

The fourth proportional to 2,109.92, 2,912.48 and 1,446.64 is: 1,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.92 : 2,912.48 = 1,446.64 : x
  2. Step 2: Convert to fraction form
    2,109.92/2,912.48 = 1,446.64/x
  3. Step 3: Cross multiply
    2,109.92x = 2,912.48 × 1,446.64
  4. Step 4: Simplify right side
    2,109.92x = 4,213,310.07
  5. Step 5: Solve for x
    x = 4,213,310.07/2,109.92
  6. Step 6: Final answer
    x = 1,996.91

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1.5x scale

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.