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Finding the Fourth Proportional to 2,310.70, 3,466.23 and 667.27

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Solution

The fourth proportional to 2,310.70, 3,466.23 and 667.27 is: 1,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.70 : 3,466.23 = 667.27 : x
  2. Step 2: Convert to fraction form
    2,310.70/3,466.23 = 667.27/x
  3. Step 3: Cross multiply
    2,310.70x = 3,466.23 × 667.27
  4. Step 4: Simplify right side
    2,310.70x = 2,312,911.29
  5. Step 5: Solve for x
    x = 2,312,911.29/2,310.70
  6. Step 6: Final answer
    x = 1,000.96

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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.