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Finding the Fourth Proportional to 2,936.80, 4,050.66 and 2,494

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Solution

The fourth proportional to 2,936.80, 4,050.66 and 2,494 is: 3,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.80 : 4,050.66 = 2,494 : x
  2. Step 2: Convert to fraction form
    2,936.80/4,050.66 = 2,494/x
  3. Step 3: Cross multiply
    2,936.80x = 4,050.66 × 2,494
  4. Step 4: Simplify right side
    2,936.80x = 10,102,346.04
  5. Step 5: Solve for x
    x = 10,102,346.04/2,936.80
  6. Step 6: Final answer
    x = 3,439.92

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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.