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Finding the Fourth Proportional to 2,189.40, 3,021.40 and 1,293.17

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Solution

The fourth proportional to 2,189.40, 3,021.40 and 1,293.17 is: 1,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.40 : 3,021.40 = 1,293.17 : x
  2. Step 2: Convert to fraction form
    2,189.40/3,021.40 = 1,293.17/x
  3. Step 3: Cross multiply
    2,189.40x = 3,021.40 × 1,293.17
  4. Step 4: Simplify right side
    2,189.40x = 3,907,183.84
  5. Step 5: Solve for x
    x = 3,907,183.84/2,189.40
  6. Step 6: Final answer
    x = 1,784.59

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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.