Home / 2,106.11-3,158.79-566.75

Finding the Fourth Proportional to 2,106.11, 3,158.79 and 566.75

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Solution

The fourth proportional to 2,106.11, 3,158.79 and 566.75 is: 850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.11 : 3,158.79 = 566.75 : x
  2. Step 2: Convert to fraction form
    2,106.11/3,158.79 = 566.75/x
  3. Step 3: Cross multiply
    2,106.11x = 3,158.79 × 566.75
  4. Step 4: Simplify right side
    2,106.11x = 1,790,241.40
  5. Step 5: Solve for x
    x = 1,790,241.40/2,106.11
  6. Step 6: Final answer
    x = 850.02

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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.