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Finding the Fourth Proportional to 2,136.44, 3,200.07 and 1,160.48

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Solution

The fourth proportional to 2,136.44, 3,200.07 and 1,160.48 is: 1,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.44 : 3,200.07 = 1,160.48 : x
  2. Step 2: Convert to fraction form
    2,136.44/3,200.07 = 1,160.48/x
  3. Step 3: Cross multiply
    2,136.44x = 3,200.07 × 1,160.48
  4. Step 4: Simplify right side
    2,136.44x = 3,713,617.23
  5. Step 5: Solve for x
    x = 3,713,617.23/2,136.44
  6. Step 6: Final answer
    x = 1,738.23

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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.