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Finding the Fourth Proportional to 1,889.28, 2,834.70 and 914.82

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Solution

The fourth proportional to 1,889.28, 2,834.70 and 914.82 is: 1,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.28 : 2,834.70 = 914.82 : x
  2. Step 2: Convert to fraction form
    1,889.28/2,834.70 = 914.82/x
  3. Step 3: Cross multiply
    1,889.28x = 2,834.70 × 914.82
  4. Step 4: Simplify right side
    1,889.28x = 2,593,240.25
  5. Step 5: Solve for x
    x = 2,593,240.25/1,889.28
  6. Step 6: Final answer
    x = 1,372.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.