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Finding the Fourth Proportional to 2,420.56, 3,630.78 and 1,446.94

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Solution

The fourth proportional to 2,420.56, 3,630.78 and 1,446.94 is: 2,170.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.56 : 3,630.78 = 1,446.94 : x
  2. Step 2: Convert to fraction form
    2,420.56/3,630.78 = 1,446.94/x
  3. Step 3: Cross multiply
    2,420.56x = 3,630.78 × 1,446.94
  4. Step 4: Simplify right side
    2,420.56x = 5,253,520.81
  5. Step 5: Solve for x
    x = 5,253,520.81/2,420.56
  6. Step 6: Final answer
    x = 2,170.37

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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.