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Finding the Fourth Proportional to 2,134.69, 2,945.89 and 1,190.54

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Solution

The fourth proportional to 2,134.69, 2,945.89 and 1,190.54 is: 1,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.69 : 2,945.89 = 1,190.54 : x
  2. Step 2: Convert to fraction form
    2,134.69/2,945.89 = 1,190.54/x
  3. Step 3: Cross multiply
    2,134.69x = 2,945.89 × 1,190.54
  4. Step 4: Simplify right side
    2,134.69x = 3,507,204.27
  5. Step 5: Solve for x
    x = 3,507,204.27/2,134.69
  6. Step 6: Final answer
    x = 1,642.96

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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.