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Finding the Fourth Proportional to 2,824.69, 4,232.99 and 1,589.50

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Solution

The fourth proportional to 2,824.69, 4,232.99 and 1,589.50 is: 2,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.69 : 4,232.99 = 1,589.50 : x
  2. Step 2: Convert to fraction form
    2,824.69/4,232.99 = 1,589.50/x
  3. Step 3: Cross multiply
    2,824.69x = 4,232.99 × 1,589.50
  4. Step 4: Simplify right side
    2,824.69x = 6,728,337.61
  5. Step 5: Solve for x
    x = 6,728,337.61/2,824.69
  6. Step 6: Final answer
    x = 2,381.97

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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.