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Finding the Fourth Proportional to 1,726.69, 2,589.03 and 1,179.53

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Solution

The fourth proportional to 1,726.69, 2,589.03 and 1,179.53 is: 1,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.69 : 2,589.03 = 1,179.53 : x
  2. Step 2: Convert to fraction form
    1,726.69/2,589.03 = 1,179.53/x
  3. Step 3: Cross multiply
    1,726.69x = 2,589.03 × 1,179.53
  4. Step 4: Simplify right side
    1,726.69x = 3,053,838.56
  5. Step 5: Solve for x
    x = 3,053,838.56/1,726.69
  6. Step 6: Final answer
    x = 1,768.61

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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.