Home / 3,202.16-4,419-1,785.94

Finding the Fourth Proportional to 3,202.16, 4,419 and 1,785.94

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Solution

The fourth proportional to 3,202.16, 4,419 and 1,785.94 is: 2,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.16 : 4,419 = 1,785.94 : x
  2. Step 2: Convert to fraction form
    3,202.16/4,419 = 1,785.94/x
  3. Step 3: Cross multiply
    3,202.16x = 4,419 × 1,785.94
  4. Step 4: Simplify right side
    3,202.16x = 7,892,057.81
  5. Step 5: Solve for x
    x = 7,892,057.81/3,202.16
  6. Step 6: Final answer
    x = 2,464.61

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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.