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Finding the Fourth Proportional to 1,589.88, 2,193.99 and 960.93

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Solution

The fourth proportional to 1,589.88, 2,193.99 and 960.93 is: 1,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.88 : 2,193.99 = 960.93 : x
  2. Step 2: Convert to fraction form
    1,589.88/2,193.99 = 960.93/x
  3. Step 3: Cross multiply
    1,589.88x = 2,193.99 × 960.93
  4. Step 4: Simplify right side
    1,589.88x = 2,108,270.81
  5. Step 5: Solve for x
    x = 2,108,270.81/1,589.88
  6. Step 6: Final answer
    x = 1,326.06

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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.