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Finding the Fourth Proportional to 2,069.75, 3,105.39 and 974.28

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Solution

The fourth proportional to 2,069.75, 3,105.39 and 974.28 is: 1,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.75 : 3,105.39 = 974.28 : x
  2. Step 2: Convert to fraction form
    2,069.75/3,105.39 = 974.28/x
  3. Step 3: Cross multiply
    2,069.75x = 3,105.39 × 974.28
  4. Step 4: Simplify right side
    2,069.75x = 3,025,511.72
  5. Step 5: Solve for x
    x = 3,025,511.72/2,069.75
  6. Step 6: Final answer
    x = 1,461.77

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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.