Home / 1,824.18-2,734.64-850.02

Finding the Fourth Proportional to 1,824.18, 2,734.64 and 850.02

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Solution

The fourth proportional to 1,824.18, 2,734.64 and 850.02 is: 1,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.18 : 2,734.64 = 850.02 : x
  2. Step 2: Convert to fraction form
    1,824.18/2,734.64 = 850.02/x
  3. Step 3: Cross multiply
    1,824.18x = 2,734.64 × 850.02
  4. Step 4: Simplify right side
    1,824.18x = 2,324,498.69
  5. Step 5: Solve for x
    x = 2,324,498.69/1,824.18
  6. Step 6: Final answer
    x = 1,274.27

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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.