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Finding the Fourth Proportional to 2,174, 3,257.94 and 940.46

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Solution

The fourth proportional to 2,174, 3,257.94 and 940.46 is: 1,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 3,257.94 = 940.46 : x
  2. Step 2: Convert to fraction form
    2,174/3,257.94 = 940.46/x
  3. Step 3: Cross multiply
    2,174x = 3,257.94 × 940.46
  4. Step 4: Simplify right side
    2,174x = 3,063,962.25
  5. Step 5: Solve for x
    x = 3,063,962.25/2,174
  6. Step 6: Final answer
    x = 1,409.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.