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Finding the Fourth Proportional to 2,964.49, 4,086.42 and 2,217.31

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Solution

The fourth proportional to 2,964.49, 4,086.42 and 2,217.31 is: 3,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.49 : 4,086.42 = 2,217.31 : x
  2. Step 2: Convert to fraction form
    2,964.49/4,086.42 = 2,217.31/x
  3. Step 3: Cross multiply
    2,964.49x = 4,086.42 × 2,217.31
  4. Step 4: Simplify right side
    2,964.49x = 9,060,859.93
  5. Step 5: Solve for x
    x = 9,060,859.93/2,964.49
  6. Step 6: Final answer
    x = 3,056.47

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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.