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Finding the Fourth Proportional to 2,136.62, 3,205.45 and 1,040.74

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Solution

The fourth proportional to 2,136.62, 3,205.45 and 1,040.74 is: 1,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.62 : 3,205.45 = 1,040.74 : x
  2. Step 2: Convert to fraction form
    2,136.62/3,205.45 = 1,040.74/x
  3. Step 3: Cross multiply
    2,136.62x = 3,205.45 × 1,040.74
  4. Step 4: Simplify right side
    2,136.62x = 3,336,033.32
  5. Step 5: Solve for x
    x = 3,336,033.32/2,136.62
  6. Step 6: Final answer
    x = 1,561.36

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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.