Home / 3,134.24-4,701.40-825.76

Finding the Fourth Proportional to 3,134.24, 4,701.40 and 825.76

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Solution

The fourth proportional to 3,134.24, 4,701.40 and 825.76 is: 1,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.24 : 4,701.40 = 825.76 : x
  2. Step 2: Convert to fraction form
    3,134.24/4,701.40 = 825.76/x
  3. Step 3: Cross multiply
    3,134.24x = 4,701.40 × 825.76
  4. Step 4: Simplify right side
    3,134.24x = 3,882,228.06
  5. Step 5: Solve for x
    x = 3,882,228.06/3,134.24
  6. Step 6: Final answer
    x = 1,238.65

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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.