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Finding the Fourth Proportional to 2,619.88, 3,930.31 and 865.01

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Solution

The fourth proportional to 2,619.88, 3,930.31 and 865.01 is: 1,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.88 : 3,930.31 = 865.01 : x
  2. Step 2: Convert to fraction form
    2,619.88/3,930.31 = 865.01/x
  3. Step 3: Cross multiply
    2,619.88x = 3,930.31 × 865.01
  4. Step 4: Simplify right side
    2,619.88x = 3,399,745.46
  5. Step 5: Solve for x
    x = 3,399,745.46/2,619.88
  6. Step 6: Final answer
    x = 1,297.67

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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.