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Finding the Fourth Proportional to 2,134.19, 2,945.18 and 1,189.97

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Solution

The fourth proportional to 2,134.19, 2,945.18 and 1,189.97 is: 1,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.19 : 2,945.18 = 1,189.97 : x
  2. Step 2: Convert to fraction form
    2,134.19/2,945.18 = 1,189.97/x
  3. Step 3: Cross multiply
    2,134.19x = 2,945.18 × 1,189.97
  4. Step 4: Simplify right side
    2,134.19x = 3,504,675.84
  5. Step 5: Solve for x
    x = 3,504,675.84/2,134.19
  6. Step 6: Final answer
    x = 1,642.16

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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.