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Finding the Fourth Proportional to 3,189.16, 4,783.71 and 1,109.16

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Solution

The fourth proportional to 3,189.16, 4,783.71 and 1,109.16 is: 1,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.16 : 4,783.71 = 1,109.16 : x
  2. Step 2: Convert to fraction form
    3,189.16/4,783.71 = 1,109.16/x
  3. Step 3: Cross multiply
    3,189.16x = 4,783.71 × 1,109.16
  4. Step 4: Simplify right side
    3,189.16x = 5,305,903.94
  5. Step 5: Solve for x
    x = 5,305,903.94/3,189.16
  6. Step 6: Final answer
    x = 1,663.73

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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.