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Finding the Fourth Proportional to 2,722.64, 4,080.31 and 2,241.50

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Solution

The fourth proportional to 2,722.64, 4,080.31 and 2,241.50 is: 3,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.64 : 4,080.31 = 2,241.50 : x
  2. Step 2: Convert to fraction form
    2,722.64/4,080.31 = 2,241.50/x
  3. Step 3: Cross multiply
    2,722.64x = 4,080.31 × 2,241.50
  4. Step 4: Simplify right side
    2,722.64x = 9,146,014.87
  5. Step 5: Solve for x
    x = 9,146,014.87/2,722.64
  6. Step 6: Final answer
    x = 3,359.25

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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.