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Finding the Fourth Proportional to 2,393.42, 3,589.65 and 811.96

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Solution

The fourth proportional to 2,393.42, 3,589.65 and 811.96 is: 1,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.42 : 3,589.65 = 811.96 : x
  2. Step 2: Convert to fraction form
    2,393.42/3,589.65 = 811.96/x
  3. Step 3: Cross multiply
    2,393.42x = 3,589.65 × 811.96
  4. Step 4: Simplify right side
    2,393.42x = 2,914,643.24
  5. Step 5: Solve for x
    x = 2,914,643.24/2,393.42
  6. Step 6: Final answer
    x = 1,217.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.