Home / 2,062.11-3,093.29-829.52

Finding the Fourth Proportional to 2,062.11, 3,093.29 and 829.52

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Solution

The fourth proportional to 2,062.11, 3,093.29 and 829.52 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.11 : 3,093.29 = 829.52 : x
  2. Step 2: Convert to fraction form
    2,062.11/3,093.29 = 829.52/x
  3. Step 3: Cross multiply
    2,062.11x = 3,093.29 × 829.52
  4. Step 4: Simplify right side
    2,062.11x = 2,565,932.32
  5. Step 5: Solve for x
    x = 2,565,932.32/2,062.11
  6. Step 6: Final answer
    x = 1,244.32

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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.