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Finding the Fourth Proportional to 2,105.09, 3,157.64 and 566.09

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Solution

The fourth proportional to 2,105.09, 3,157.64 and 566.09 is: 849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.09 : 3,157.64 = 566.09 : x
  2. Step 2: Convert to fraction form
    2,105.09/3,157.64 = 566.09/x
  3. Step 3: Cross multiply
    2,105.09x = 3,157.64 × 566.09
  4. Step 4: Simplify right side
    2,105.09x = 1,787,508.43
  5. Step 5: Solve for x
    x = 1,787,508.43/2,105.09
  6. Step 6: Final answer
    x = 849.14

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1.5x scale

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.