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Finding the Fourth Proportional to 2,299.41, 3,446.97 and 838.23

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Solution

The fourth proportional to 2,299.41, 3,446.97 and 838.23 is: 1,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.41 : 3,446.97 = 838.23 : x
  2. Step 2: Convert to fraction form
    2,299.41/3,446.97 = 838.23/x
  3. Step 3: Cross multiply
    2,299.41x = 3,446.97 × 838.23
  4. Step 4: Simplify right side
    2,299.41x = 2,889,353.66
  5. Step 5: Solve for x
    x = 2,889,353.66/2,299.41
  6. Step 6: Final answer
    x = 1,256.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.