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Finding the Fourth Proportional to 2,189.71, 3,021.75 and 1,194.96

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Solution

The fourth proportional to 2,189.71, 3,021.75 and 1,194.96 is: 1,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.71 : 3,021.75 = 1,194.96 : x
  2. Step 2: Convert to fraction form
    2,189.71/3,021.75 = 1,194.96/x
  3. Step 3: Cross multiply
    2,189.71x = 3,021.75 × 1,194.96
  4. Step 4: Simplify right side
    2,189.71x = 3,610,855.27
  5. Step 5: Solve for x
    x = 3,610,855.27/2,189.71
  6. Step 6: Final answer
    x = 1,649.01

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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.