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Finding the Fourth Proportional to 1,589.72, 2,379.94 and 1,180.67

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Solution

The fourth proportional to 1,589.72, 2,379.94 and 1,180.67 is: 1,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.72 : 2,379.94 = 1,180.67 : x
  2. Step 2: Convert to fraction form
    1,589.72/2,379.94 = 1,180.67/x
  3. Step 3: Cross multiply
    1,589.72x = 2,379.94 × 1,180.67
  4. Step 4: Simplify right side
    1,589.72x = 2,809,908.91
  5. Step 5: Solve for x
    x = 2,809,908.91/1,589.72
  6. Step 6: Final answer
    x = 1,767.56

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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.