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Finding the Fourth Proportional to 2,105.07, 3,157.60 and 566.07

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Solution

The fourth proportional to 2,105.07, 3,157.60 and 566.07 is: 849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.07 : 3,157.60 = 566.07 : x
  2. Step 2: Convert to fraction form
    2,105.07/3,157.60 = 566.07/x
  3. Step 3: Cross multiply
    2,105.07x = 3,157.60 × 566.07
  4. Step 4: Simplify right side
    2,105.07x = 1,787,404.01
  5. Step 5: Solve for x
    x = 1,787,404.01/2,105.07
  6. Step 6: Final answer
    x = 849.10

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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.