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Finding the Fourth Proportional to 1,640.62, 2,264.10 and 894.54

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Solution

The fourth proportional to 1,640.62, 2,264.10 and 894.54 is: 1,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.62 : 2,264.10 = 894.54 : x
  2. Step 2: Convert to fraction form
    1,640.62/2,264.10 = 894.54/x
  3. Step 3: Cross multiply
    1,640.62x = 2,264.10 × 894.54
  4. Step 4: Simplify right side
    1,640.62x = 2,025,328.01
  5. Step 5: Solve for x
    x = 2,025,328.01/1,640.62
  6. Step 6: Final answer
    x = 1,234.49

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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.