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Finding the Fourth Proportional to 2,249.89, 3,374.01 and 863.17

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Solution

The fourth proportional to 2,249.89, 3,374.01 and 863.17 is: 1,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.89 : 3,374.01 = 863.17 : x
  2. Step 2: Convert to fraction form
    2,249.89/3,374.01 = 863.17/x
  3. Step 3: Cross multiply
    2,249.89x = 3,374.01 × 863.17
  4. Step 4: Simplify right side
    2,249.89x = 2,912,344.21
  5. Step 5: Solve for x
    x = 2,912,344.21/2,249.89
  6. Step 6: Final answer
    x = 1,294.44

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1.5x scale

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.