Home / 1,474.28-2,212.52-825.56

Finding the Fourth Proportional to 1,474.28, 2,212.52 and 825.56

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Solution

The fourth proportional to 1,474.28, 2,212.52 and 825.56 is: 1,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.28 : 2,212.52 = 825.56 : x
  2. Step 2: Convert to fraction form
    1,474.28/2,212.52 = 825.56/x
  3. Step 3: Cross multiply
    1,474.28x = 2,212.52 × 825.56
  4. Step 4: Simplify right side
    1,474.28x = 1,826,568.01
  5. Step 5: Solve for x
    x = 1,826,568.01/1,474.28
  6. Step 6: Final answer
    x = 1,238.96

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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.