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Finding the Fourth Proportional to 2,615.85, 3,920.31 and 1,446.12

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Solution

The fourth proportional to 2,615.85, 3,920.31 and 1,446.12 is: 2,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.85 : 3,920.31 = 1,446.12 : x
  2. Step 2: Convert to fraction form
    2,615.85/3,920.31 = 1,446.12/x
  3. Step 3: Cross multiply
    2,615.85x = 3,920.31 × 1,446.12
  4. Step 4: Simplify right side
    2,615.85x = 5,669,238.70
  5. Step 5: Solve for x
    x = 5,669,238.70/2,615.85
  6. Step 6: Final answer
    x = 2,167.26

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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.