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Finding the Fourth Proportional to 1,968.88, 2,953.26 and 735.82

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Solution

The fourth proportional to 1,968.88, 2,953.26 and 735.82 is: 1,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.88 : 2,953.26 = 735.82 : x
  2. Step 2: Convert to fraction form
    1,968.88/2,953.26 = 735.82/x
  3. Step 3: Cross multiply
    1,968.88x = 2,953.26 × 735.82
  4. Step 4: Simplify right side
    1,968.88x = 2,173,067.77
  5. Step 5: Solve for x
    x = 2,173,067.77/1,968.88
  6. Step 6: Final answer
    x = 1,103.71

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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.