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Finding the Fourth Proportional to 2,096.88, 3,149.64 and 1,448.88

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Solution

The fourth proportional to 2,096.88, 3,149.64 and 1,448.88 is: 2,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.88 : 3,149.64 = 1,448.88 : x
  2. Step 2: Convert to fraction form
    2,096.88/3,149.64 = 1,448.88/x
  3. Step 3: Cross multiply
    2,096.88x = 3,149.64 × 1,448.88
  4. Step 4: Simplify right side
    2,096.88x = 4,563,450.40
  5. Step 5: Solve for x
    x = 4,563,450.40/2,096.88
  6. Step 6: Final answer
    x = 2,176.30

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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.