Home / 1,828.24-2,742.08-511.86

Finding the Fourth Proportional to 1,828.24, 2,742.08 and 511.86

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Solution

The fourth proportional to 1,828.24, 2,742.08 and 511.86 is: 767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.24 : 2,742.08 = 511.86 : x
  2. Step 2: Convert to fraction form
    1,828.24/2,742.08 = 511.86/x
  3. Step 3: Cross multiply
    1,828.24x = 2,742.08 × 511.86
  4. Step 4: Simplify right side
    1,828.24x = 1,403,553.37
  5. Step 5: Solve for x
    x = 1,403,553.37/1,828.24
  6. Step 6: Final answer
    x = 767.71

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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.