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Finding the Fourth Proportional to 2,250.57, 3,376.53 and 863.94

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Solution

The fourth proportional to 2,250.57, 3,376.53 and 863.94 is: 1,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.57 : 3,376.53 = 863.94 : x
  2. Step 2: Convert to fraction form
    2,250.57/3,376.53 = 863.94/x
  3. Step 3: Cross multiply
    2,250.57x = 3,376.53 × 863.94
  4. Step 4: Simplify right side
    2,250.57x = 2,917,119.33
  5. Step 5: Solve for x
    x = 2,917,119.33/2,250.57
  6. Step 6: Final answer
    x = 1,296.17

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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.