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Finding the Fourth Proportional to 2,349.43, 3,524.11 and 962.37

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Solution

The fourth proportional to 2,349.43, 3,524.11 and 962.37 is: 1,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.43 : 3,524.11 = 962.37 : x
  2. Step 2: Convert to fraction form
    2,349.43/3,524.11 = 962.37/x
  3. Step 3: Cross multiply
    2,349.43x = 3,524.11 × 962.37
  4. Step 4: Simplify right side
    2,349.43x = 3,391,495.33
  5. Step 5: Solve for x
    x = 3,391,495.33/2,349.43
  6. Step 6: Final answer
    x = 1,443.54

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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.