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Finding the Fourth Proportional to 1,645.58, 2,469.05 and 1,336.21

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Solution

The fourth proportional to 1,645.58, 2,469.05 and 1,336.21 is: 2,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.58 : 2,469.05 = 1,336.21 : x
  2. Step 2: Convert to fraction form
    1,645.58/2,469.05 = 1,336.21/x
  3. Step 3: Cross multiply
    1,645.58x = 2,469.05 × 1,336.21
  4. Step 4: Simplify right side
    1,645.58x = 3,299,169.30
  5. Step 5: Solve for x
    x = 3,299,169.30/1,645.58
  6. Step 6: Final answer
    x = 2,004.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.