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Finding the Fourth Proportional to 1,589.14, 2,193.12 and 959.82

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Solution

The fourth proportional to 1,589.14, 2,193.12 and 959.82 is: 1,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.14 : 2,193.12 = 959.82 : x
  2. Step 2: Convert to fraction form
    1,589.14/2,193.12 = 959.82/x
  3. Step 3: Cross multiply
    1,589.14x = 2,193.12 × 959.82
  4. Step 4: Simplify right side
    1,589.14x = 2,104,989.47
  5. Step 5: Solve for x
    x = 2,104,989.47/1,589.14
  6. Step 6: Final answer
    x = 1,324.61

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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.