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Finding the Fourth Proportional to 3,137.80, 4,706.67 and 829.30

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Solution

The fourth proportional to 3,137.80, 4,706.67 and 829.30 is: 1,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.80 : 4,706.67 = 829.30 : x
  2. Step 2: Convert to fraction form
    3,137.80/4,706.67 = 829.30/x
  3. Step 3: Cross multiply
    3,137.80x = 4,706.67 × 829.30
  4. Step 4: Simplify right side
    3,137.80x = 3,903,241.43
  5. Step 5: Solve for x
    x = 3,903,241.43/3,137.80
  6. Step 6: Final answer
    x = 1,243.94

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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.