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Finding the Fourth Proportional to 2,631.03, 3,945.47 and 986.73

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Solution

The fourth proportional to 2,631.03, 3,945.47 and 986.73 is: 1,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.03 : 3,945.47 = 986.73 : x
  2. Step 2: Convert to fraction form
    2,631.03/3,945.47 = 986.73/x
  3. Step 3: Cross multiply
    2,631.03x = 3,945.47 × 986.73
  4. Step 4: Simplify right side
    2,631.03x = 3,893,108.68
  5. Step 5: Solve for x
    x = 3,893,108.68/2,631.03
  6. Step 6: Final answer
    x = 1,479.69

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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.