Home / 2,286.23-3,427.29-825.04

Finding the Fourth Proportional to 2,286.23, 3,427.29 and 825.04

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Solution

The fourth proportional to 2,286.23, 3,427.29 and 825.04 is: 1,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.23 : 3,427.29 = 825.04 : x
  2. Step 2: Convert to fraction form
    2,286.23/3,427.29 = 825.04/x
  3. Step 3: Cross multiply
    2,286.23x = 3,427.29 × 825.04
  4. Step 4: Simplify right side
    2,286.23x = 2,827,642.77
  5. Step 5: Solve for x
    x = 2,827,642.77/2,286.23
  6. Step 6: Final answer
    x = 1,236.82

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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.