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Finding the Fourth Proportional to 2,136.27, 3,205.78 and 1,312.00

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Solution

The fourth proportional to 2,136.27, 3,205.78 and 1,312.00 is: 1,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.27 : 3,205.78 = 1,312.00 : x
  2. Step 2: Convert to fraction form
    2,136.27/3,205.78 = 1,312.00/x
  3. Step 3: Cross multiply
    2,136.27x = 3,205.78 × 1,312.00
  4. Step 4: Simplify right side
    2,136.27x = 4,205,972.07
  5. Step 5: Solve for x
    x = 4,205,972.07/2,136.27
  6. Step 6: Final answer
    x = 1,968.84

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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.