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Finding the Fourth Proportional to 2,634.61, 3,951.50 and 879.65

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Solution

The fourth proportional to 2,634.61, 3,951.50 and 879.65 is: 1,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.61 : 3,951.50 = 879.65 : x
  2. Step 2: Convert to fraction form
    2,634.61/3,951.50 = 879.65/x
  3. Step 3: Cross multiply
    2,634.61x = 3,951.50 × 879.65
  4. Step 4: Simplify right side
    2,634.61x = 3,475,917.22
  5. Step 5: Solve for x
    x = 3,475,917.22/2,634.61
  6. Step 6: Final answer
    x = 1,319.33

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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.