Home / 1,828.44-2,523.35-1,082.30

Finding the Fourth Proportional to 1,828.44, 2,523.35 and 1,082.30

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Solution

The fourth proportional to 1,828.44, 2,523.35 and 1,082.30 is: 1,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.44 : 2,523.35 = 1,082.30 : x
  2. Step 2: Convert to fraction form
    1,828.44/2,523.35 = 1,082.30/x
  3. Step 3: Cross multiply
    1,828.44x = 2,523.35 × 1,082.30
  4. Step 4: Simplify right side
    1,828.44x = 2,731,011.79
  5. Step 5: Solve for x
    x = 2,731,011.79/1,828.44
  6. Step 6: Final answer
    x = 1,493.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.