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Finding the Fourth Proportional to 3,137.70, 4,706.55 and 829.20

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Solution

The fourth proportional to 3,137.70, 4,706.55 and 829.20 is: 1,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.70 : 4,706.55 = 829.20 : x
  2. Step 2: Convert to fraction form
    3,137.70/4,706.55 = 829.20/x
  3. Step 3: Cross multiply
    3,137.70x = 4,706.55 × 829.20
  4. Step 4: Simplify right side
    3,137.70x = 3,902,671.26
  5. Step 5: Solve for x
    x = 3,902,671.26/3,137.70
  6. Step 6: Final answer
    x = 1,243.80

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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.