Home / 1,382.18-2,072.97-408.02

Finding the Fourth Proportional to 1,382.18, 2,072.97 and 408.02

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Solution

The fourth proportional to 1,382.18, 2,072.97 and 408.02 is: 611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.18 : 2,072.97 = 408.02 : x
  2. Step 2: Convert to fraction form
    1,382.18/2,072.97 = 408.02/x
  3. Step 3: Cross multiply
    1,382.18x = 2,072.97 × 408.02
  4. Step 4: Simplify right side
    1,382.18x = 845,802.85
  5. Step 5: Solve for x
    x = 845,802.85/1,382.18
  6. Step 6: Final answer
    x = 611.94

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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.