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Finding the Fourth Proportional to 2,136.44, 3,205.06 and 675.20

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Solution

The fourth proportional to 2,136.44, 3,205.06 and 675.20 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.44 : 3,205.06 = 675.20 : x
  2. Step 2: Convert to fraction form
    2,136.44/3,205.06 = 675.20/x
  3. Step 3: Cross multiply
    2,136.44x = 3,205.06 × 675.20
  4. Step 4: Simplify right side
    2,136.44x = 2,164,056.51
  5. Step 5: Solve for x
    x = 2,164,056.51/2,136.44
  6. Step 6: Final answer
    x = 1,012.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.