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Finding the Fourth Proportional to 1,645.83, 2,469.24 and 952.34

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Solution

The fourth proportional to 1,645.83, 2,469.24 and 952.34 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.83 : 2,469.24 = 952.34 : x
  2. Step 2: Convert to fraction form
    1,645.83/2,469.24 = 952.34/x
  3. Step 3: Cross multiply
    1,645.83x = 2,469.24 × 952.34
  4. Step 4: Simplify right side
    1,645.83x = 2,351,556.02
  5. Step 5: Solve for x
    x = 2,351,556.02/1,645.83
  6. Step 6: Final answer
    x = 1,428.80

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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.