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Finding the Fourth Proportional to 2,241.54, 3,362.34 and 1,471.86

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Solution

The fourth proportional to 2,241.54, 3,362.34 and 1,471.86 is: 2,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.54 : 3,362.34 = 1,471.86 : x
  2. Step 2: Convert to fraction form
    2,241.54/3,362.34 = 1,471.86/x
  3. Step 3: Cross multiply
    2,241.54x = 3,362.34 × 1,471.86
  4. Step 4: Simplify right side
    2,241.54x = 4,948,893.75
  5. Step 5: Solve for x
    x = 4,948,893.75/2,241.54
  6. Step 6: Final answer
    x = 2,207.81

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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.