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Finding the Fourth Proportional to 1,634.92, 2,452.38 and 661.03

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Solution

The fourth proportional to 1,634.92, 2,452.38 and 661.03 is: 991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.92 : 2,452.38 = 661.03 : x
  2. Step 2: Convert to fraction form
    1,634.92/2,452.38 = 661.03/x
  3. Step 3: Cross multiply
    1,634.92x = 2,452.38 × 661.03
  4. Step 4: Simplify right side
    1,634.92x = 1,621,086.14
  5. Step 5: Solve for x
    x = 1,621,086.14/1,634.92
  6. Step 6: Final answer
    x = 991.54

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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.