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Finding the Fourth Proportional to 2,136.63, 3,205.59 and 675.81

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Solution

The fourth proportional to 2,136.63, 3,205.59 and 675.81 is: 1,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.63 : 3,205.59 = 675.81 : x
  2. Step 2: Convert to fraction form
    2,136.63/3,205.59 = 675.81/x
  3. Step 3: Cross multiply
    2,136.63x = 3,205.59 × 675.81
  4. Step 4: Simplify right side
    2,136.63x = 2,166,369.78
  5. Step 5: Solve for x
    x = 2,166,369.78/2,136.63
  6. Step 6: Final answer
    x = 1,013.92

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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.