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Finding the Fourth Proportional to 1,722.44, 2,583.36 and 797.83

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Solution

The fourth proportional to 1,722.44, 2,583.36 and 797.83 is: 1,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.44 : 2,583.36 = 797.83 : x
  2. Step 2: Convert to fraction form
    1,722.44/2,583.36 = 797.83/x
  3. Step 3: Cross multiply
    1,722.44x = 2,583.36 × 797.83
  4. Step 4: Simplify right side
    1,722.44x = 2,061,082.11
  5. Step 5: Solve for x
    x = 2,061,082.11/1,722.44
  6. Step 6: Final answer
    x = 1,196.61

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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.