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Finding the Fourth Proportional to 3,188.67, 4,400.30 and 1,772.33

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Solution

The fourth proportional to 3,188.67, 4,400.30 and 1,772.33 is: 2,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.67 : 4,400.30 = 1,772.33 : x
  2. Step 2: Convert to fraction form
    3,188.67/4,400.30 = 1,772.33/x
  3. Step 3: Cross multiply
    3,188.67x = 4,400.30 × 1,772.33
  4. Step 4: Simplify right side
    3,188.67x = 7,798,790.88
  5. Step 5: Solve for x
    x = 7,798,790.88/3,188.67
  6. Step 6: Final answer
    x = 2,445.78

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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.