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Finding the Fourth Proportional to 1,589.16, 2,193 and 959.76

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Solution

The fourth proportional to 1,589.16, 2,193 and 959.76 is: 1,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.16 : 2,193 = 959.76 : x
  2. Step 2: Convert to fraction form
    1,589.16/2,193 = 959.76/x
  3. Step 3: Cross multiply
    1,589.16x = 2,193 × 959.76
  4. Step 4: Simplify right side
    1,589.16x = 2,104,753.68
  5. Step 5: Solve for x
    x = 2,104,753.68/1,589.16
  6. Step 6: Final answer
    x = 1,324.44

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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.