Home / 1,982.81-2,736.16-1,164.49

Finding the Fourth Proportional to 1,982.81, 2,736.16 and 1,164.49

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Solution

The fourth proportional to 1,982.81, 2,736.16 and 1,164.49 is: 1,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.81 : 2,736.16 = 1,164.49 : x
  2. Step 2: Convert to fraction form
    1,982.81/2,736.16 = 1,164.49/x
  3. Step 3: Cross multiply
    1,982.81x = 2,736.16 × 1,164.49
  4. Step 4: Simplify right side
    1,982.81x = 3,186,230.96
  5. Step 5: Solve for x
    x = 3,186,230.96/1,982.81
  6. Step 6: Final answer
    x = 1,606.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.