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Finding the Fourth Proportional to 1,640.53, 2,263.87 and 894.47

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Solution

The fourth proportional to 1,640.53, 2,263.87 and 894.47 is: 1,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.53 : 2,263.87 = 894.47 : x
  2. Step 2: Convert to fraction form
    1,640.53/2,263.87 = 894.47/x
  3. Step 3: Cross multiply
    1,640.53x = 2,263.87 × 894.47
  4. Step 4: Simplify right side
    1,640.53x = 2,024,963.80
  5. Step 5: Solve for x
    x = 2,024,963.80/1,640.53
  6. Step 6: Final answer
    x = 1,234.34

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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.