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Finding the Fourth Proportional to 3,190.70, 4,402.10 and 1,932.15

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Solution

The fourth proportional to 3,190.70, 4,402.10 and 1,932.15 is: 2,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.70 : 4,402.10 = 1,932.15 : x
  2. Step 2: Convert to fraction form
    3,190.70/4,402.10 = 1,932.15/x
  3. Step 3: Cross multiply
    3,190.70x = 4,402.10 × 1,932.15
  4. Step 4: Simplify right side
    3,190.70x = 8,505,507.85
  5. Step 5: Solve for x
    x = 8,505,507.85/3,190.70
  6. Step 6: Final answer
    x = 2,665.72

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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.