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Finding the Fourth Proportional to 1,722.12, 2,584.18 and 626.56

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Solution

The fourth proportional to 1,722.12, 2,584.18 and 626.56 is: 940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.12 : 2,584.18 = 626.56 : x
  2. Step 2: Convert to fraction form
    1,722.12/2,584.18 = 626.56/x
  3. Step 3: Cross multiply
    1,722.12x = 2,584.18 × 626.56
  4. Step 4: Simplify right side
    1,722.12x = 1,619,143.82
  5. Step 5: Solve for x
    x = 1,619,143.82/1,722.12
  6. Step 6: Final answer
    x = 940.20

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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.