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Finding the Fourth Proportional to 1,604.54, 2,213.12 and 1,043.97

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Solution

The fourth proportional to 1,604.54, 2,213.12 and 1,043.97 is: 1,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.54 : 2,213.12 = 1,043.97 : x
  2. Step 2: Convert to fraction form
    1,604.54/2,213.12 = 1,043.97/x
  3. Step 3: Cross multiply
    1,604.54x = 2,213.12 × 1,043.97
  4. Step 4: Simplify right side
    1,604.54x = 2,310,425.67
  5. Step 5: Solve for x
    x = 2,310,425.67/1,604.54
  6. Step 6: Final answer
    x = 1,439.93

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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.