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Finding the Fourth Proportional to 2,694.16, 4,039.08 and 1,666

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Solution

The fourth proportional to 2,694.16, 4,039.08 and 1,666 is: 2,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.16 : 4,039.08 = 1,666 : x
  2. Step 2: Convert to fraction form
    2,694.16/4,039.08 = 1,666/x
  3. Step 3: Cross multiply
    2,694.16x = 4,039.08 × 1,666
  4. Step 4: Simplify right side
    2,694.16x = 6,729,107.28
  5. Step 5: Solve for x
    x = 6,729,107.28/2,694.16
  6. Step 6: Final answer
    x = 2,497.66

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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.