Home / 2,049.92-2,828.68-1,165.84

Finding the Fourth Proportional to 2,049.92, 2,828.68 and 1,165.84

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Solution

The fourth proportional to 2,049.92, 2,828.68 and 1,165.84 is: 1,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.92 : 2,828.68 = 1,165.84 : x
  2. Step 2: Convert to fraction form
    2,049.92/2,828.68 = 1,165.84/x
  3. Step 3: Cross multiply
    2,049.92x = 2,828.68 × 1,165.84
  4. Step 4: Simplify right side
    2,049.92x = 3,297,788.29
  5. Step 5: Solve for x
    x = 3,297,788.29/2,049.92
  6. Step 6: Final answer
    x = 1,608.74

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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.