Home / 2,109.06-3,146.31-2,049.48

Finding the Fourth Proportional to 2,109.06, 3,146.31 and 2,049.48

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Solution

The fourth proportional to 2,109.06, 3,146.31 and 2,049.48 is: 3,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.06 : 3,146.31 = 2,049.48 : x
  2. Step 2: Convert to fraction form
    2,109.06/3,146.31 = 2,049.48/x
  3. Step 3: Cross multiply
    2,109.06x = 3,146.31 × 2,049.48
  4. Step 4: Simplify right side
    2,109.06x = 6,448,299.42
  5. Step 5: Solve for x
    x = 6,448,299.42/2,109.06
  6. Step 6: Final answer
    x = 3,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.