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Finding the Fourth Proportional to 3,802.82, 5,704.80 and 1,205.50

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Solution

The fourth proportional to 3,802.82, 5,704.80 and 1,205.50 is: 1,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.82 : 5,704.80 = 1,205.50 : x
  2. Step 2: Convert to fraction form
    3,802.82/5,704.80 = 1,205.50/x
  3. Step 3: Cross multiply
    3,802.82x = 5,704.80 × 1,205.50
  4. Step 4: Simplify right side
    3,802.82x = 6,877,136.40
  5. Step 5: Solve for x
    x = 6,877,136.40/3,802.82
  6. Step 6: Final answer
    x = 1,808.43

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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.