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Finding the Fourth Proportional to 2,136.75, 3,203.16 and 1,809.78

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Solution

The fourth proportional to 2,136.75, 3,203.16 and 1,809.78 is: 2,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.75 : 3,203.16 = 1,809.78 : x
  2. Step 2: Convert to fraction form
    2,136.75/3,203.16 = 1,809.78/x
  3. Step 3: Cross multiply
    2,136.75x = 3,203.16 × 1,809.78
  4. Step 4: Simplify right side
    2,136.75x = 5,797,014.90
  5. Step 5: Solve for x
    x = 5,797,014.90/2,136.75
  6. Step 6: Final answer
    x = 2,713.01

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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.