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Finding the Fourth Proportional to 2,134.09, 2,945.01 and 1,189.86

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Solution

The fourth proportional to 2,134.09, 2,945.01 and 1,189.86 is: 1,641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.09 : 2,945.01 = 1,189.86 : x
  2. Step 2: Convert to fraction form
    2,134.09/2,945.01 = 1,189.86/x
  3. Step 3: Cross multiply
    2,134.09x = 2,945.01 × 1,189.86
  4. Step 4: Simplify right side
    2,134.09x = 3,504,149.60
  5. Step 5: Solve for x
    x = 3,504,149.60/2,134.09
  6. Step 6: Final answer
    x = 1,641.99

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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.