Home / 1,824.57-2,736.84-850.14

Finding the Fourth Proportional to 1,824.57, 2,736.84 and 850.14

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Solution

The fourth proportional to 1,824.57, 2,736.84 and 850.14 is: 1,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.57 : 2,736.84 = 850.14 : x
  2. Step 2: Convert to fraction form
    1,824.57/2,736.84 = 850.14/x
  3. Step 3: Cross multiply
    1,824.57x = 2,736.84 × 850.14
  4. Step 4: Simplify right side
    1,824.57x = 2,326,697.16
  5. Step 5: Solve for x
    x = 2,326,697.16/1,824.57
  6. Step 6: Final answer
    x = 1,275.20

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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.