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Finding the Fourth Proportional to 1,726.23, 2,589.79 and 493.73

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Solution

The fourth proportional to 1,726.23, 2,589.79 and 493.73 is: 740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.23 : 2,589.79 = 493.73 : x
  2. Step 2: Convert to fraction form
    1,726.23/2,589.79 = 493.73/x
  3. Step 3: Cross multiply
    1,726.23x = 2,589.79 × 493.73
  4. Step 4: Simplify right side
    1,726.23x = 1,278,653.47
  5. Step 5: Solve for x
    x = 1,278,653.47/1,726.23
  6. Step 6: Final answer
    x = 740.72

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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.