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Finding the Fourth Proportional to 1,726.25, 2,589.62 and 630.35

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Solution

The fourth proportional to 1,726.25, 2,589.62 and 630.35 is: 945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.25 : 2,589.62 = 630.35 : x
  2. Step 2: Convert to fraction form
    1,726.25/2,589.62 = 630.35/x
  3. Step 3: Cross multiply
    1,726.25x = 2,589.62 × 630.35
  4. Step 4: Simplify right side
    1,726.25x = 1,632,350.87
  5. Step 5: Solve for x
    x = 1,632,350.87/1,726.25
  6. Step 6: Final answer
    x = 945.61

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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.