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Finding the Fourth Proportional to 3,237.09, 4,467.11 and 1,978.14

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Solution

The fourth proportional to 3,237.09, 4,467.11 and 1,978.14 is: 2,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.09 : 4,467.11 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    3,237.09/4,467.11 = 1,978.14/x
  3. Step 3: Cross multiply
    3,237.09x = 4,467.11 × 1,978.14
  4. Step 4: Simplify right side
    3,237.09x = 8,836,567.78
  5. Step 5: Solve for x
    x = 8,836,567.78/3,237.09
  6. Step 6: Final answer
    x = 2,729.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.