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Finding the Fourth Proportional to 1,723.03, 2,584.29 and 735.97

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Solution

The fourth proportional to 1,723.03, 2,584.29 and 735.97 is: 1,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.03 : 2,584.29 = 735.97 : x
  2. Step 2: Convert to fraction form
    1,723.03/2,584.29 = 735.97/x
  3. Step 3: Cross multiply
    1,723.03x = 2,584.29 × 735.97
  4. Step 4: Simplify right side
    1,723.03x = 1,901,959.91
  5. Step 5: Solve for x
    x = 1,901,959.91/1,723.03
  6. Step 6: Final answer
    x = 1,103.85

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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.