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Finding the Fourth Proportional to 1,640.62, 2,263.98 and 894.52

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Solution

The fourth proportional to 1,640.62, 2,263.98 and 894.52 is: 1,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.62 : 2,263.98 = 894.52 : x
  2. Step 2: Convert to fraction form
    1,640.62/2,263.98 = 894.52/x
  3. Step 3: Cross multiply
    1,640.62x = 2,263.98 × 894.52
  4. Step 4: Simplify right side
    1,640.62x = 2,025,175.39
  5. Step 5: Solve for x
    x = 2,025,175.39/1,640.62
  6. Step 6: Final answer
    x = 1,234.40

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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.