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Finding the Fourth Proportional to 2,285.53, 3,428.46 and 969.57

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Solution

The fourth proportional to 2,285.53, 3,428.46 and 969.57 is: 1,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.53 : 3,428.46 = 969.57 : x
  2. Step 2: Convert to fraction form
    2,285.53/3,428.46 = 969.57/x
  3. Step 3: Cross multiply
    2,285.53x = 3,428.46 × 969.57
  4. Step 4: Simplify right side
    2,285.53x = 3,324,131.96
  5. Step 5: Solve for x
    x = 3,324,131.96/2,285.53
  6. Step 6: Final answer
    x = 1,454.42

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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.