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Finding the Fourth Proportional to 2,642.61, 3,964.11 and 694.77

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Solution

The fourth proportional to 2,642.61, 3,964.11 and 694.77 is: 1,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.61 : 3,964.11 = 694.77 : x
  2. Step 2: Convert to fraction form
    2,642.61/3,964.11 = 694.77/x
  3. Step 3: Cross multiply
    2,642.61x = 3,964.11 × 694.77
  4. Step 4: Simplify right side
    2,642.61x = 2,754,144.70
  5. Step 5: Solve for x
    x = 2,754,144.70/2,642.61
  6. Step 6: Final answer
    x = 1,042.21

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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.