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Finding the Fourth Proportional to 1,967.44, 2,951.54 and 735.72

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Solution

The fourth proportional to 1,967.44, 2,951.54 and 735.72 is: 1,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.44 : 2,951.54 = 735.72 : x
  2. Step 2: Convert to fraction form
    1,967.44/2,951.54 = 735.72/x
  3. Step 3: Cross multiply
    1,967.44x = 2,951.54 × 735.72
  4. Step 4: Simplify right side
    1,967.44x = 2,171,507.01
  5. Step 5: Solve for x
    x = 2,171,507.01/1,967.44
  6. Step 6: Final answer
    x = 1,103.72

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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.