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Finding the Fourth Proportional to 2,449.89, 3,675.06 and 1,216.08

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Solution

The fourth proportional to 2,449.89, 3,675.06 and 1,216.08 is: 1,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.89 : 3,675.06 = 1,216.08 : x
  2. Step 2: Convert to fraction form
    2,449.89/3,675.06 = 1,216.08/x
  3. Step 3: Cross multiply
    2,449.89x = 3,675.06 × 1,216.08
  4. Step 4: Simplify right side
    2,449.89x = 4,469,166.96
  5. Step 5: Solve for x
    x = 4,469,166.96/2,449.89
  6. Step 6: Final answer
    x = 1,824.23

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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.