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Finding the Fourth Proportional to 3,022.18, 4,533.28 and 830.94

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Solution

The fourth proportional to 3,022.18, 4,533.28 and 830.94 is: 1,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.18 : 4,533.28 = 830.94 : x
  2. Step 2: Convert to fraction form
    3,022.18/4,533.28 = 830.94/x
  3. Step 3: Cross multiply
    3,022.18x = 4,533.28 × 830.94
  4. Step 4: Simplify right side
    3,022.18x = 3,766,883.68
  5. Step 5: Solve for x
    x = 3,766,883.68/3,022.18
  6. Step 6: Final answer
    x = 1,246.41

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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.