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Finding the Fourth Proportional to 1,589.15, 2,193.17 and 959.87

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Solution

The fourth proportional to 1,589.15, 2,193.17 and 959.87 is: 1,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.15 : 2,193.17 = 959.87 : x
  2. Step 2: Convert to fraction form
    1,589.15/2,193.17 = 959.87/x
  3. Step 3: Cross multiply
    1,589.15x = 2,193.17 × 959.87
  4. Step 4: Simplify right side
    1,589.15x = 2,105,158.09
  5. Step 5: Solve for x
    x = 2,105,158.09/1,589.15
  6. Step 6: Final answer
    x = 1,324.71

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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.