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Finding the Fourth Proportional to 2,349.26, 3,523.89 and 962.36

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Solution

The fourth proportional to 2,349.26, 3,523.89 and 962.36 is: 1,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.26 : 3,523.89 = 962.36 : x
  2. Step 2: Convert to fraction form
    2,349.26/3,523.89 = 962.36/x
  3. Step 3: Cross multiply
    2,349.26x = 3,523.89 × 962.36
  4. Step 4: Simplify right side
    2,349.26x = 3,391,233.16
  5. Step 5: Solve for x
    x = 3,391,233.16/2,349.26
  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.