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Finding the Fourth Proportional to 2,620.41, 3,929.77 and 865.01

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Solution

The fourth proportional to 2,620.41, 3,929.77 and 865.01 is: 1,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.41 : 3,929.77 = 865.01 : x
  2. Step 2: Convert to fraction form
    2,620.41/3,929.77 = 865.01/x
  3. Step 3: Cross multiply
    2,620.41x = 3,929.77 × 865.01
  4. Step 4: Simplify right side
    2,620.41x = 3,399,271.78
  5. Step 5: Solve for x
    x = 3,399,271.78/2,620.41
  6. Step 6: Final answer
    x = 1,297.23

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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.