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Finding the Fourth Proportional to 2,136.54, 3,204.45 and 1,039.98

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Solution

The fourth proportional to 2,136.54, 3,204.45 and 1,039.98 is: 1,559.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.54 : 3,204.45 = 1,039.98 : x
  2. Step 2: Convert to fraction form
    2,136.54/3,204.45 = 1,039.98/x
  3. Step 3: Cross multiply
    2,136.54x = 3,204.45 × 1,039.98
  4. Step 4: Simplify right side
    2,136.54x = 3,332,563.91
  5. Step 5: Solve for x
    x = 3,332,563.91/2,136.54
  6. Step 6: Final answer
    x = 1,559.79

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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.