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Finding the Fourth Proportional to 2,666.09, 3,996.77 and 1,105.13

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Solution

The fourth proportional to 2,666.09, 3,996.77 and 1,105.13 is: 1,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.09 : 3,996.77 = 1,105.13 : x
  2. Step 2: Convert to fraction form
    2,666.09/3,996.77 = 1,105.13/x
  3. Step 3: Cross multiply
    2,666.09x = 3,996.77 × 1,105.13
  4. Step 4: Simplify right side
    2,666.09x = 4,416,924.92
  5. Step 5: Solve for x
    x = 4,416,924.92/2,666.09
  6. Step 6: Final answer
    x = 1,656.71

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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.