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Finding the Fourth Proportional to 2,620.15, 3,929.26 and 864.82

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Solution

The fourth proportional to 2,620.15, 3,929.26 and 864.82 is: 1,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.15 : 3,929.26 = 864.82 : x
  2. Step 2: Convert to fraction form
    2,620.15/3,929.26 = 864.82/x
  3. Step 3: Cross multiply
    2,620.15x = 3,929.26 × 864.82
  4. Step 4: Simplify right side
    2,620.15x = 3,398,102.63
  5. Step 5: Solve for x
    x = 3,398,102.63/2,620.15
  6. Step 6: Final answer
    x = 1,296.91

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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.