Home / 2,109.09-3,164.36-939.19

Finding the Fourth Proportional to 2,109.09, 3,164.36 and 939.19

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Solution

The fourth proportional to 2,109.09, 3,164.36 and 939.19 is: 1,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.09 : 3,164.36 = 939.19 : x
  2. Step 2: Convert to fraction form
    2,109.09/3,164.36 = 939.19/x
  3. Step 3: Cross multiply
    2,109.09x = 3,164.36 × 939.19
  4. Step 4: Simplify right side
    2,109.09x = 2,971,935.27
  5. Step 5: Solve for x
    x = 2,971,935.27/2,109.09
  6. Step 6: Final answer
    x = 1,409.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.