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Finding the Fourth Proportional to 2,241.27, 3,362.16 and 597.88

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Solution

The fourth proportional to 2,241.27, 3,362.16 and 597.88 is: 896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.27 : 3,362.16 = 597.88 : x
  2. Step 2: Convert to fraction form
    2,241.27/3,362.16 = 597.88/x
  3. Step 3: Cross multiply
    2,241.27x = 3,362.16 × 597.88
  4. Step 4: Simplify right side
    2,241.27x = 2,010,171.30
  5. Step 5: Solve for x
    x = 2,010,171.30/2,241.27
  6. Step 6: Final answer
    x = 896.89

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