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Finding the Fourth Proportional to 2,105.52, 3,161.52 and 2,066.64

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Solution

The fourth proportional to 2,105.52, 3,161.52 and 2,066.64 is: 3,103.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.52 : 3,161.52 = 2,066.64 : x
  2. Step 2: Convert to fraction form
    2,105.52/3,161.52 = 2,066.64/x
  3. Step 3: Cross multiply
    2,105.52x = 3,161.52 × 2,066.64
  4. Step 4: Simplify right side
    2,105.52x = 6,533,723.69
  5. Step 5: Solve for x
    x = 6,533,723.69/2,105.52
  6. Step 6: Final answer
    x = 3,103.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.