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Finding the Fourth Proportional to 2,891.40, 3,989.34 and 1,842.60

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Solution

The fourth proportional to 2,891.40, 3,989.34 and 1,842.60 is: 2,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.40 : 3,989.34 = 1,842.60 : x
  2. Step 2: Convert to fraction form
    2,891.40/3,989.34 = 1,842.60/x
  3. Step 3: Cross multiply
    2,891.40x = 3,989.34 × 1,842.60
  4. Step 4: Simplify right side
    2,891.40x = 7,350,757.88
  5. Step 5: Solve for x
    x = 7,350,757.88/2,891.40
  6. Step 6: Final answer
    x = 2,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.