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Finding the Fourth Proportional to 1,722.26, 2,583.25 and 626.87

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Solution

The fourth proportional to 1,722.26, 2,583.25 and 626.87 is: 940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.26 : 2,583.25 = 626.87 : x
  2. Step 2: Convert to fraction form
    1,722.26/2,583.25 = 626.87/x
  3. Step 3: Cross multiply
    1,722.26x = 2,583.25 × 626.87
  4. Step 4: Simplify right side
    1,722.26x = 1,619,347.44
  5. Step 5: Solve for x
    x = 1,619,347.44/1,722.26
  6. Step 6: Final answer
    x = 940.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.