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Finding the Fourth Proportional to 2,769.92, 4,156.71 and 1,309.17

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Solution

The fourth proportional to 2,769.92, 4,156.71 and 1,309.17 is: 1,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.92 : 4,156.71 = 1,309.17 : x
  2. Step 2: Convert to fraction form
    2,769.92/4,156.71 = 1,309.17/x
  3. Step 3: Cross multiply
    2,769.92x = 4,156.71 × 1,309.17
  4. Step 4: Simplify right side
    2,769.92x = 5,441,840.03
  5. Step 5: Solve for x
    x = 5,441,840.03/2,769.92
  6. Step 6: Final answer
    x = 1,964.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.