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Finding the Fourth Proportional to 1,589.83, 2,194.11 and 960.67

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Solution

The fourth proportional to 1,589.83, 2,194.11 and 960.67 is: 1,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.83 : 2,194.11 = 960.67 : x
  2. Step 2: Convert to fraction form
    1,589.83/2,194.11 = 960.67/x
  3. Step 3: Cross multiply
    1,589.83x = 2,194.11 × 960.67
  4. Step 4: Simplify right side
    1,589.83x = 2,107,815.65
  5. Step 5: Solve for x
    x = 2,107,815.65/1,589.83
  6. Step 6: Final answer
    x = 1,325.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.