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Finding the Fourth Proportional to 1,591.03, 2,195.94 and 892.54

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Solution

The fourth proportional to 1,591.03, 2,195.94 and 892.54 is: 1,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.03 : 2,195.94 = 892.54 : x
  2. Step 2: Convert to fraction form
    1,591.03/2,195.94 = 892.54/x
  3. Step 3: Cross multiply
    1,591.03x = 2,195.94 × 892.54
  4. Step 4: Simplify right side
    1,591.03x = 1,959,964.29
  5. Step 5: Solve for x
    x = 1,959,964.29/1,591.03
  6. Step 6: Final answer
    x = 1,231.88

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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.