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Finding the Fourth Proportional to 3,011.67, 4,517.57 and 820.46

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Solution

The fourth proportional to 3,011.67, 4,517.57 and 820.46 is: 1,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.67 : 4,517.57 = 820.46 : x
  2. Step 2: Convert to fraction form
    3,011.67/4,517.57 = 820.46/x
  3. Step 3: Cross multiply
    3,011.67x = 4,517.57 × 820.46
  4. Step 4: Simplify right side
    3,011.67x = 3,706,458.79
  5. Step 5: Solve for x
    x = 3,706,458.79/3,011.67
  6. Step 6: Final answer
    x = 1,230.70

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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.