Home / 2,382.24-3,286.32-1,449.12

Finding the Fourth Proportional to 2,382.24, 3,286.32 and 1,449.12

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Solution

The fourth proportional to 2,382.24, 3,286.32 and 1,449.12 is: 1,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.24 : 3,286.32 = 1,449.12 : x
  2. Step 2: Convert to fraction form
    2,382.24/3,286.32 = 1,449.12/x
  3. Step 3: Cross multiply
    2,382.24x = 3,286.32 × 1,449.12
  4. Step 4: Simplify right side
    2,382.24x = 4,762,272.04
  5. Step 5: Solve for x
    x = 4,762,272.04/2,382.24
  6. Step 6: Final answer
    x = 1,999.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.