Home / 1,202.32-1,814.92-1,189.36

Finding the Fourth Proportional to 1,202.32, 1,814.92 and 1,189.36

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Solution

The fourth proportional to 1,202.32, 1,814.92 and 1,189.36 is: 1,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.32 : 1,814.92 = 1,189.36 : x
  2. Step 2: Convert to fraction form
    1,202.32/1,814.92 = 1,189.36/x
  3. Step 3: Cross multiply
    1,202.32x = 1,814.92 × 1,189.36
  4. Step 4: Simplify right side
    1,202.32x = 2,158,593.25
  5. Step 5: Solve for x
    x = 2,158,593.25/1,202.32
  6. Step 6: Final answer
    x = 1,795.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.