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Finding the Fourth Proportional to 2,634.48, 3,951.41 and 686.63

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Solution

The fourth proportional to 2,634.48, 3,951.41 and 686.63 is: 1,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.48 : 3,951.41 = 686.63 : x
  2. Step 2: Convert to fraction form
    2,634.48/3,951.41 = 686.63/x
  3. Step 3: Cross multiply
    2,634.48x = 3,951.41 × 686.63
  4. Step 4: Simplify right side
    2,634.48x = 2,713,163.09
  5. Step 5: Solve for x
    x = 2,713,163.09/2,634.48
  6. Step 6: Final answer
    x = 1,029.87

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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.