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Finding the Fourth Proportional to 3,382.68, 5,073.84 and 1,074

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Solution

The fourth proportional to 3,382.68, 5,073.84 and 1,074 is: 1,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.68 : 5,073.84 = 1,074 : x
  2. Step 2: Convert to fraction form
    3,382.68/5,073.84 = 1,074/x
  3. Step 3: Cross multiply
    3,382.68x = 5,073.84 × 1,074
  4. Step 4: Simplify right side
    3,382.68x = 5,449,304.16
  5. Step 5: Solve for x
    x = 5,449,304.16/3,382.68
  6. Step 6: Final answer
    x = 1,610.94

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Why These Related Problems?

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