Home / 2,382.25-3,573.61-822.05

Finding the Fourth Proportional to 2,382.25, 3,573.61 and 822.05

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Solution

The fourth proportional to 2,382.25, 3,573.61 and 822.05 is: 1,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.25 : 3,573.61 = 822.05 : x
  2. Step 2: Convert to fraction form
    2,382.25/3,573.61 = 822.05/x
  3. Step 3: Cross multiply
    2,382.25x = 3,573.61 × 822.05
  4. Step 4: Simplify right side
    2,382.25x = 2,937,668.23
  5. Step 5: Solve for x
    x = 2,937,668.23/2,382.25
  6. Step 6: Final answer
    x = 1,233.15

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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.