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Finding the Fourth Proportional to 2,194.50, 3,293.37 and 1,040.25

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Solution

The fourth proportional to 2,194.50, 3,293.37 and 1,040.25 is: 1,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.50 : 3,293.37 = 1,040.25 : x
  2. Step 2: Convert to fraction form
    2,194.50/3,293.37 = 1,040.25/x
  3. Step 3: Cross multiply
    2,194.50x = 3,293.37 × 1,040.25
  4. Step 4: Simplify right side
    2,194.50x = 3,425,928.14
  5. Step 5: Solve for x
    x = 3,425,928.14/2,194.50
  6. Step 6: Final answer
    x = 1,561.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.