Home / 2,713.91-4,071.26-982.13

Finding the Fourth Proportional to 2,713.91, 4,071.26 and 982.13

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Solution

The fourth proportional to 2,713.91, 4,071.26 and 982.13 is: 1,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.91 : 4,071.26 = 982.13 : x
  2. Step 2: Convert to fraction form
    2,713.91/4,071.26 = 982.13/x
  3. Step 3: Cross multiply
    2,713.91x = 4,071.26 × 982.13
  4. Step 4: Simplify right side
    2,713.91x = 3,998,488.68
  5. Step 5: Solve for x
    x = 3,998,488.68/2,713.91
  6. Step 6: Final answer
    x = 1,473.33

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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.