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Finding the Fourth Proportional to 2,642.69, 3,964.26 and 694.88

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Solution

The fourth proportional to 2,642.69, 3,964.26 and 694.88 is: 1,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.69 : 3,964.26 = 694.88 : x
  2. Step 2: Convert to fraction form
    2,642.69/3,964.26 = 694.88/x
  3. Step 3: Cross multiply
    2,642.69x = 3,964.26 × 694.88
  4. Step 4: Simplify right side
    2,642.69x = 2,754,665.17
  5. Step 5: Solve for x
    x = 2,754,665.17/2,642.69
  6. Step 6: Final answer
    x = 1,042.37

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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.