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Finding the Fourth Proportional to 1,189.81, 1,638.20 and 1,080.46

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Solution

The fourth proportional to 1,189.81, 1,638.20 and 1,080.46 is: 1,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.81 : 1,638.20 = 1,080.46 : x
  2. Step 2: Convert to fraction form
    1,189.81/1,638.20 = 1,080.46/x
  3. Step 3: Cross multiply
    1,189.81x = 1,638.20 × 1,080.46
  4. Step 4: Simplify right side
    1,189.81x = 1,770,009.57
  5. Step 5: Solve for x
    x = 1,770,009.57/1,189.81
  6. Step 6: Final answer
    x = 1,487.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.