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Finding the Fourth Proportional to 2,450.88, 3,673.86 and 988.02

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Solution

The fourth proportional to 2,450.88, 3,673.86 and 988.02 is: 1,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.88 : 3,673.86 = 988.02 : x
  2. Step 2: Convert to fraction form
    2,450.88/3,673.86 = 988.02/x
  3. Step 3: Cross multiply
    2,450.88x = 3,673.86 × 988.02
  4. Step 4: Simplify right side
    2,450.88x = 3,629,847.16
  5. Step 5: Solve for x
    x = 3,629,847.16/2,450.88
  6. Step 6: Final answer
    x = 1,481.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.