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Finding the Fourth Proportional to 2,846.53, 4,269.99 and 997.43

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Solution

The fourth proportional to 2,846.53, 4,269.99 and 997.43 is: 1,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.53 : 4,269.99 = 997.43 : x
  2. Step 2: Convert to fraction form
    2,846.53/4,269.99 = 997.43/x
  3. Step 3: Cross multiply
    2,846.53x = 4,269.99 × 997.43
  4. Step 4: Simplify right side
    2,846.53x = 4,259,016.13
  5. Step 5: Solve for x
    x = 4,259,016.13/2,846.53
  6. Step 6: Final answer
    x = 1,496.21

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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.