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Finding the Fourth Proportional to 1,597.27, 2,204.09 and 889.09

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Solution

The fourth proportional to 1,597.27, 2,204.09 and 889.09 is: 1,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.27 : 2,204.09 = 889.09 : x
  2. Step 2: Convert to fraction form
    1,597.27/2,204.09 = 889.09/x
  3. Step 3: Cross multiply
    1,597.27x = 2,204.09 × 889.09
  4. Step 4: Simplify right side
    1,597.27x = 1,959,634.38
  5. Step 5: Solve for x
    x = 1,959,634.38/1,597.27
  6. Step 6: Final answer
    x = 1,226.86

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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.