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Finding the Fourth Proportional to 3,022.23, 4,532.39 and 969.75

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Solution

The fourth proportional to 3,022.23, 4,532.39 and 969.75 is: 1,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.23 : 4,532.39 = 969.75 : x
  2. Step 2: Convert to fraction form
    3,022.23/4,532.39 = 969.75/x
  3. Step 3: Cross multiply
    3,022.23x = 4,532.39 × 969.75
  4. Step 4: Simplify right side
    3,022.23x = 4,395,280.35
  5. Step 5: Solve for x
    x = 4,395,280.35/3,022.23
  6. Step 6: Final answer
    x = 1,454.32

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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.