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Finding the Fourth Proportional to 3,022.76, 4,171.16 and 1,844.20

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Solution

The fourth proportional to 3,022.76, 4,171.16 and 1,844.20 is: 2,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.76 : 4,171.16 = 1,844.20 : x
  2. Step 2: Convert to fraction form
    3,022.76/4,171.16 = 1,844.20/x
  3. Step 3: Cross multiply
    3,022.76x = 4,171.16 × 1,844.20
  4. Step 4: Simplify right side
    3,022.76x = 7,692,453.27
  5. Step 5: Solve for x
    x = 7,692,453.27/3,022.76
  6. Step 6: Final answer
    x = 2,544.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.