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Finding the Fourth Proportional to 1,604.46, 2,213.96 and 896.34

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Solution

The fourth proportional to 1,604.46, 2,213.96 and 896.34 is: 1,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.46 : 2,213.96 = 896.34 : x
  2. Step 2: Convert to fraction form
    1,604.46/2,213.96 = 896.34/x
  3. Step 3: Cross multiply
    1,604.46x = 2,213.96 × 896.34
  4. Step 4: Simplify right side
    1,604.46x = 1,984,461.02
  5. Step 5: Solve for x
    x = 1,984,461.02/1,604.46
  6. Step 6: Final answer
    x = 1,236.84

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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.