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Finding the Fourth Proportional to 2,136.54, 3,203.21 and 1,441.25

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Solution

The fourth proportional to 2,136.54, 3,203.21 and 1,441.25 is: 2,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.54 : 3,203.21 = 1,441.25 : x
  2. Step 2: Convert to fraction form
    2,136.54/3,203.21 = 1,441.25/x
  3. Step 3: Cross multiply
    2,136.54x = 3,203.21 × 1,441.25
  4. Step 4: Simplify right side
    2,136.54x = 4,616,626.41
  5. Step 5: Solve for x
    x = 4,616,626.41/2,136.54
  6. Step 6: Final answer
    x = 2,160.80

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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.