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Finding the Fourth Proportional to 1,603.11, 2,404.50 and 1,086.43

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Solution

The fourth proportional to 1,603.11, 2,404.50 and 1,086.43 is: 1,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.11 : 2,404.50 = 1,086.43 : x
  2. Step 2: Convert to fraction form
    1,603.11/2,404.50 = 1,086.43/x
  3. Step 3: Cross multiply
    1,603.11x = 2,404.50 × 1,086.43
  4. Step 4: Simplify right side
    1,603.11x = 2,612,321.47
  5. Step 5: Solve for x
    x = 2,612,321.47/1,603.11
  6. Step 6: Final answer
    x = 1,629.54

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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.