Home / 2,202.25-3,303.81-741.82

Finding the Fourth Proportional to 2,202.25, 3,303.81 and 741.82

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Solution

The fourth proportional to 2,202.25, 3,303.81 and 741.82 is: 1,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.25 : 3,303.81 = 741.82 : x
  2. Step 2: Convert to fraction form
    2,202.25/3,303.81 = 741.82/x
  3. Step 3: Cross multiply
    2,202.25x = 3,303.81 × 741.82
  4. Step 4: Simplify right side
    2,202.25x = 2,450,832.33
  5. Step 5: Solve for x
    x = 2,450,832.33/2,202.25
  6. Step 6: Final answer
    x = 1,112.88

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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.