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Finding the Fourth Proportional to 2,747.75, 4,119.74 and 1,322.24

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Solution

The fourth proportional to 2,747.75, 4,119.74 and 1,322.24 is: 1,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.75 : 4,119.74 = 1,322.24 : x
  2. Step 2: Convert to fraction form
    2,747.75/4,119.74 = 1,322.24/x
  3. Step 3: Cross multiply
    2,747.75x = 4,119.74 × 1,322.24
  4. Step 4: Simplify right side
    2,747.75x = 5,447,267.72
  5. Step 5: Solve for x
    x = 5,447,267.72/2,747.75
  6. Step 6: Final answer
    x = 1,982.45

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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.