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Finding the Fourth Proportional to 2,634.03, 3,951.15 and 686.19

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Solution

The fourth proportional to 2,634.03, 3,951.15 and 686.19 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.03 : 3,951.15 = 686.19 : x
  2. Step 2: Convert to fraction form
    2,634.03/3,951.15 = 686.19/x
  3. Step 3: Cross multiply
    2,634.03x = 3,951.15 × 686.19
  4. Step 4: Simplify right side
    2,634.03x = 2,711,239.62
  5. Step 5: Solve for x
    x = 2,711,239.62/2,634.03
  6. Step 6: Final answer
    x = 1,029.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.