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Finding the Fourth Proportional to 3,141.67, 4,337.39 and 1,964.34

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Solution

The fourth proportional to 3,141.67, 4,337.39 and 1,964.34 is: 2,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.67 : 4,337.39 = 1,964.34 : x
  2. Step 2: Convert to fraction form
    3,141.67/4,337.39 = 1,964.34/x
  3. Step 3: Cross multiply
    3,141.67x = 4,337.39 × 1,964.34
  4. Step 4: Simplify right side
    3,141.67x = 8,520,108.67
  5. Step 5: Solve for x
    x = 8,520,108.67/3,141.67
  6. Step 6: Final answer
    x = 2,711.97

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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.