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Finding the Fourth Proportional to 2,136.71, 3,204.29 and 1,312.49

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Solution

The fourth proportional to 2,136.71, 3,204.29 and 1,312.49 is: 1,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.71 : 3,204.29 = 1,312.49 : x
  2. Step 2: Convert to fraction form
    2,136.71/3,204.29 = 1,312.49/x
  3. Step 3: Cross multiply
    2,136.71x = 3,204.29 × 1,312.49
  4. Step 4: Simplify right side
    2,136.71x = 4,205,609.87
  5. Step 5: Solve for x
    x = 4,205,609.87/2,136.71
  6. Step 6: Final answer
    x = 1,968.26

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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.