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Finding the Fourth Proportional to 2,000.26, 3,012.25 and 1,674.31

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Solution

The fourth proportional to 2,000.26, 3,012.25 and 1,674.31 is: 2,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.26 : 3,012.25 = 1,674.31 : x
  2. Step 2: Convert to fraction form
    2,000.26/3,012.25 = 1,674.31/x
  3. Step 3: Cross multiply
    2,000.26x = 3,012.25 × 1,674.31
  4. Step 4: Simplify right side
    2,000.26x = 5,043,440.30
  5. Step 5: Solve for x
    x = 5,043,440.30/2,000.26
  6. Step 6: Final answer
    x = 2,521.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.