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Finding the Fourth Proportional to 2,136.10, 3,204.36 and 837.28

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Solution

The fourth proportional to 2,136.10, 3,204.36 and 837.28 is: 1,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.10 : 3,204.36 = 837.28 : x
  2. Step 2: Convert to fraction form
    2,136.10/3,204.36 = 837.28/x
  3. Step 3: Cross multiply
    2,136.10x = 3,204.36 × 837.28
  4. Step 4: Simplify right side
    2,136.10x = 2,682,946.54
  5. Step 5: Solve for x
    x = 2,682,946.54/2,136.10
  6. Step 6: Final answer
    x = 1,256.00

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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.