Home / 2,122.64-3,184.44-824.12

Finding the Fourth Proportional to 2,122.64, 3,184.44 and 824.12

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Solution

The fourth proportional to 2,122.64, 3,184.44 and 824.12 is: 1,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.64 : 3,184.44 = 824.12 : x
  2. Step 2: Convert to fraction form
    2,122.64/3,184.44 = 824.12/x
  3. Step 3: Cross multiply
    2,122.64x = 3,184.44 × 824.12
  4. Step 4: Simplify right side
    2,122.64x = 2,624,360.69
  5. Step 5: Solve for x
    x = 2,624,360.69/2,122.64
  6. Step 6: Final answer
    x = 1,236.37

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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.