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Finding the Fourth Proportional to 1,722.80, 2,583.25 and 681.75

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Solution

The fourth proportional to 1,722.80, 2,583.25 and 681.75 is: 1,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.80 : 2,583.25 = 681.75 : x
  2. Step 2: Convert to fraction form
    1,722.80/2,583.25 = 681.75/x
  3. Step 3: Cross multiply
    1,722.80x = 2,583.25 × 681.75
  4. Step 4: Simplify right side
    1,722.80x = 1,761,130.69
  5. Step 5: Solve for x
    x = 1,761,130.69/1,722.80
  6. Step 6: Final answer
    x = 1,022.25

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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.