Home / 2,309.28-3,471.12-2,194.08

Finding the Fourth Proportional to 2,309.28, 3,471.12 and 2,194.08

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Solution

The fourth proportional to 2,309.28, 3,471.12 and 2,194.08 is: 3,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.28 : 3,471.12 = 2,194.08 : x
  2. Step 2: Convert to fraction form
    2,309.28/3,471.12 = 2,194.08/x
  3. Step 3: Cross multiply
    2,309.28x = 3,471.12 × 2,194.08
  4. Step 4: Simplify right side
    2,309.28x = 7,615,914.97
  5. Step 5: Solve for x
    x = 7,615,914.97/2,309.28
  6. Step 6: Final answer
    x = 3,297.96

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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.