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Finding the Fourth Proportional to 2,136.88, 3,204.48 and 837.92

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Solution

The fourth proportional to 2,136.88, 3,204.48 and 837.92 is: 1,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.88 : 3,204.48 = 837.92 : x
  2. Step 2: Convert to fraction form
    2,136.88/3,204.48 = 837.92/x
  3. Step 3: Cross multiply
    2,136.88x = 3,204.48 × 837.92
  4. Step 4: Simplify right side
    2,136.88x = 2,685,097.88
  5. Step 5: Solve for x
    x = 2,685,097.88/2,136.88
  6. Step 6: Final answer
    x = 1,256.55

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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.