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Finding the Fourth Proportional to 2,183.75, 3,276.26 and 644.75

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Solution

The fourth proportional to 2,183.75, 3,276.26 and 644.75 is: 967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.75 : 3,276.26 = 644.75 : x
  2. Step 2: Convert to fraction form
    2,183.75/3,276.26 = 644.75/x
  3. Step 3: Cross multiply
    2,183.75x = 3,276.26 × 644.75
  4. Step 4: Simplify right side
    2,183.75x = 2,112,368.64
  5. Step 5: Solve for x
    x = 2,112,368.64/2,183.75
  6. Step 6: Final answer
    x = 967.31

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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.