Home / 1,382.20-2,073.58-408.36

Finding the Fourth Proportional to 1,382.20, 2,073.58 and 408.36

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Solution

The fourth proportional to 1,382.20, 2,073.58 and 408.36 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.20 : 2,073.58 = 408.36 : x
  2. Step 2: Convert to fraction form
    1,382.20/2,073.58 = 408.36/x
  3. Step 3: Cross multiply
    1,382.20x = 2,073.58 × 408.36
  4. Step 4: Simplify right side
    1,382.20x = 846,767.13
  5. Step 5: Solve for x
    x = 846,767.13/1,382.20
  6. Step 6: Final answer
    x = 612.62

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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.