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Finding the Fourth Proportional to 1,640.49, 2,263.84 and 894.43

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Solution

The fourth proportional to 1,640.49, 2,263.84 and 894.43 is: 1,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.49 : 2,263.84 = 894.43 : x
  2. Step 2: Convert to fraction form
    1,640.49/2,263.84 = 894.43/x
  3. Step 3: Cross multiply
    1,640.49x = 2,263.84 × 894.43
  4. Step 4: Simplify right side
    1,640.49x = 2,024,846.41
  5. Step 5: Solve for x
    x = 2,024,846.41/1,640.49
  6. Step 6: Final answer
    x = 1,234.29

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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.