Home / 3,202.14-4,419-1,785.87

Finding the Fourth Proportional to 3,202.14, 4,419 and 1,785.87

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Solution

The fourth proportional to 3,202.14, 4,419 and 1,785.87 is: 2,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.14 : 4,419 = 1,785.87 : x
  2. Step 2: Convert to fraction form
    3,202.14/4,419 = 1,785.87/x
  3. Step 3: Cross multiply
    3,202.14x = 4,419 × 1,785.87
  4. Step 4: Simplify right side
    3,202.14x = 7,891,759.53
  5. Step 5: Solve for x
    x = 7,891,759.53/3,202.14
  6. Step 6: Final answer
    x = 2,464.53

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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.