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Finding the Fourth Proportional to 1,889.62, 2,834.43 and 735.64

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Solution

The fourth proportional to 1,889.62, 2,834.43 and 735.64 is: 1,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.62 : 2,834.43 = 735.64 : x
  2. Step 2: Convert to fraction form
    1,889.62/2,834.43 = 735.64/x
  3. Step 3: Cross multiply
    1,889.62x = 2,834.43 × 735.64
  4. Step 4: Simplify right side
    1,889.62x = 2,085,102.23
  5. Step 5: Solve for x
    x = 2,085,102.23/1,889.62
  6. Step 6: Final answer
    x = 1,103.45

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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.