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Finding the Fourth Proportional to 2,241.88, 3,094.30 and 1,454.56

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Solution

The fourth proportional to 2,241.88, 3,094.30 and 1,454.56 is: 2,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.88 : 3,094.30 = 1,454.56 : x
  2. Step 2: Convert to fraction form
    2,241.88/3,094.30 = 1,454.56/x
  3. Step 3: Cross multiply
    2,241.88x = 3,094.30 × 1,454.56
  4. Step 4: Simplify right side
    2,241.88x = 4,500,839.09
  5. Step 5: Solve for x
    x = 4,500,839.09/2,241.88
  6. Step 6: Final answer
    x = 2,007.62

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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.