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Finding the Fourth Proportional to 1,481.43, 2,044.46 and 892.16

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Solution

The fourth proportional to 1,481.43, 2,044.46 and 892.16 is: 1,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.43 : 2,044.46 = 892.16 : x
  2. Step 2: Convert to fraction form
    1,481.43/2,044.46 = 892.16/x
  3. Step 3: Cross multiply
    1,481.43x = 2,044.46 × 892.16
  4. Step 4: Simplify right side
    1,481.43x = 1,823,970.75
  5. Step 5: Solve for x
    x = 1,823,970.75/1,481.43
  6. Step 6: Final answer
    x = 1,231.22

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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.