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Finding the Fourth Proportional to 2,446.35, 3,660.15 and 1,406.85

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Solution

The fourth proportional to 2,446.35, 3,660.15 and 1,406.85 is: 2,104.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.35 : 3,660.15 = 1,406.85 : x
  2. Step 2: Convert to fraction form
    2,446.35/3,660.15 = 1,406.85/x
  3. Step 3: Cross multiply
    2,446.35x = 3,660.15 × 1,406.85
  4. Step 4: Simplify right side
    2,446.35x = 5,149,282.03
  5. Step 5: Solve for x
    x = 5,149,282.03/2,446.35
  6. Step 6: Final answer
    x = 2,104.88

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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.