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Finding the Fourth Proportional to 1,726.20, 2,587.22 and 629.97

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Solution

The fourth proportional to 1,726.20, 2,587.22 and 629.97 is: 944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.20 : 2,587.22 = 629.97 : x
  2. Step 2: Convert to fraction form
    1,726.20/2,587.22 = 629.97/x
  3. Step 3: Cross multiply
    1,726.20x = 2,587.22 × 629.97
  4. Step 4: Simplify right side
    1,726.20x = 1,629,870.98
  5. Step 5: Solve for x
    x = 1,629,870.98/1,726.20
  6. Step 6: Final answer
    x = 944.20

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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.