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Finding the Fourth Proportional to 2,189.62, 3,279.86 and 1,090.64

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Solution

The fourth proportional to 2,189.62, 3,279.86 and 1,090.64 is: 1,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.62 : 3,279.86 = 1,090.64 : x
  2. Step 2: Convert to fraction form
    2,189.62/3,279.86 = 1,090.64/x
  3. Step 3: Cross multiply
    2,189.62x = 3,279.86 × 1,090.64
  4. Step 4: Simplify right side
    2,189.62x = 3,577,141.06
  5. Step 5: Solve for x
    x = 3,577,141.06/2,189.62
  6. Step 6: Final answer
    x = 1,633.68

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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.