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Finding the Fourth Proportional to 2,620.12, 3,930.29 and 865.28

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Solution

The fourth proportional to 2,620.12, 3,930.29 and 865.28 is: 1,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.12 : 3,930.29 = 865.28 : x
  2. Step 2: Convert to fraction form
    2,620.12/3,930.29 = 865.28/x
  3. Step 3: Cross multiply
    2,620.12x = 3,930.29 × 865.28
  4. Step 4: Simplify right side
    2,620.12x = 3,400,792.83
  5. Step 5: Solve for x
    x = 3,400,792.83/2,620.12
  6. Step 6: Final answer
    x = 1,297.95

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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.