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Finding the Fourth Proportional to 2,249.79, 3,374.55 and 863.07

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Solution

The fourth proportional to 2,249.79, 3,374.55 and 863.07 is: 1,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.79 : 3,374.55 = 863.07 : x
  2. Step 2: Convert to fraction form
    2,249.79/3,374.55 = 863.07/x
  3. Step 3: Cross multiply
    2,249.79x = 3,374.55 × 863.07
  4. Step 4: Simplify right side
    2,249.79x = 2,912,472.87
  5. Step 5: Solve for x
    x = 2,912,472.87/2,249.79
  6. Step 6: Final answer
    x = 1,294.55

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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.