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Finding the Fourth Proportional to 2,049.54, 3,072.92 and 1,173.03

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Solution

The fourth proportional to 2,049.54, 3,072.92 and 1,173.03 is: 1,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.54 : 3,072.92 = 1,173.03 : x
  2. Step 2: Convert to fraction form
    2,049.54/3,072.92 = 1,173.03/x
  3. Step 3: Cross multiply
    2,049.54x = 3,072.92 × 1,173.03
  4. Step 4: Simplify right side
    2,049.54x = 3,604,621.48
  5. Step 5: Solve for x
    x = 3,604,621.48/2,049.54
  6. Step 6: Final answer
    x = 1,758.75

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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.